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Finding the Fourth Proportional to 612.20, 918.42 and 201.32

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Solution

The fourth proportional to 612.20, 918.42 and 201.32 is: 302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.20 : 918.42 = 201.32 : x
  2. Step 2: Convert to fraction form
    612.20/918.42 = 201.32/x
  3. Step 3: Cross multiply
    612.20x = 918.42 × 201.32
  4. Step 4: Simplify right side
    612.20x = 184,896.31
  5. Step 5: Solve for x
    x = 184,896.31/612.20
  6. Step 6: Final answer
    x = 302.02

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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.