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Finding the Fourth Proportional to 402.32, 603.14 and 186.05

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Solution

The fourth proportional to 402.32, 603.14 and 186.05 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 603.14 = 186.05 : x
  2. Step 2: Convert to fraction form
    402.32/603.14 = 186.05/x
  3. Step 3: Cross multiply
    402.32x = 603.14 × 186.05
  4. Step 4: Simplify right side
    402.32x = 112,210.25
  5. Step 5: Solve for x
    x = 112,210.25/402.32
  6. Step 6: Final answer
    x = 278.91

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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.