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Finding the Fourth Proportional to 402.48, 603.76 and 186.12

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Solution

The fourth proportional to 402.48, 603.76 and 186.12 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 603.76 = 186.12 : x
  2. Step 2: Convert to fraction form
    402.48/603.76 = 186.12/x
  3. Step 3: Cross multiply
    402.48x = 603.76 × 186.12
  4. Step 4: Simplify right side
    402.48x = 112,371.81
  5. Step 5: Solve for x
    x = 112,371.81/402.48
  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.