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Finding the Fourth Proportional to 612.87, 919.23 and 180.02

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Solution

The fourth proportional to 612.87, 919.23 and 180.02 is: 270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.87 : 919.23 = 180.02 : x
  2. Step 2: Convert to fraction form
    612.87/919.23 = 180.02/x
  3. Step 3: Cross multiply
    612.87x = 919.23 × 180.02
  4. Step 4: Simplify right side
    612.87x = 165,475.19
  5. Step 5: Solve for x
    x = 165,475.19/612.87
  6. Step 6: Final answer
    x = 270.00

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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.