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Finding the Fourth Proportional to 402.63, 603.86 and 186.16

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Solution

The fourth proportional to 402.63, 603.86 and 186.16 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 603.86 = 186.16 : x
  2. Step 2: Convert to fraction form
    402.63/603.86 = 186.16/x
  3. Step 3: Cross multiply
    402.63x = 603.86 × 186.16
  4. Step 4: Simplify right side
    402.63x = 112,414.58
  5. Step 5: Solve for x
    x = 112,414.58/402.63
  6. Step 6: Final answer
    x = 279.20

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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.