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Finding the Fourth Proportional to 410.13, 614.72 and 178.88

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Solution

The fourth proportional to 410.13, 614.72 and 178.88 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 614.72 = 178.88 : x
  2. Step 2: Convert to fraction form
    410.13/614.72 = 178.88/x
  3. Step 3: Cross multiply
    410.13x = 614.72 × 178.88
  4. Step 4: Simplify right side
    410.13x = 109,958.49
  5. Step 5: Solve for x
    x = 109,958.49/410.13
  6. Step 6: Final answer
    x = 268.11

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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.