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Finding the Fourth Proportional to 612.83, 919.32 and 202.10

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Solution

The fourth proportional to 612.83, 919.32 and 202.10 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 919.32 = 202.10 : x
  2. Step 2: Convert to fraction form
    612.83/919.32 = 202.10/x
  3. Step 3: Cross multiply
    612.83x = 919.32 × 202.10
  4. Step 4: Simplify right side
    612.83x = 185,789.22
  5. Step 5: Solve for x
    x = 185,789.22/612.83
  6. Step 6: Final answer
    x = 303.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.