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Finding the Fourth Proportional to 410.08, 614.97 and 178.90

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Solution

The fourth proportional to 410.08, 614.97 and 178.90 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 614.97 = 178.90 : x
  2. Step 2: Convert to fraction form
    410.08/614.97 = 178.90/x
  3. Step 3: Cross multiply
    410.08x = 614.97 × 178.90
  4. Step 4: Simplify right side
    410.08x = 110,014.16
  5. Step 5: Solve for x
    x = 110,014.16/410.08
  6. Step 6: Final answer
    x = 268.28

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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.