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Finding the Fourth Proportional to 410.13, 614.70 and 178.97

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Solution

The fourth proportional to 410.13, 614.70 and 178.97 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 614.70 = 178.97 : x
  2. Step 2: Convert to fraction form
    410.13/614.70 = 178.97/x
  3. Step 3: Cross multiply
    410.13x = 614.70 × 178.97
  4. Step 4: Simplify right side
    410.13x = 110,009.79
  5. Step 5: Solve for x
    x = 110,009.79/410.13
  6. Step 6: Final answer
    x = 268.23

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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.