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Finding the Fourth Proportional to 332.68, 499.29 and 178.71

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Solution

The fourth proportional to 332.68, 499.29 and 178.71 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.68 : 499.29 = 178.71 : x
  2. Step 2: Convert to fraction form
    332.68/499.29 = 178.71/x
  3. Step 3: Cross multiply
    332.68x = 499.29 × 178.71
  4. Step 4: Simplify right side
    332.68x = 89,228.12
  5. Step 5: Solve for x
    x = 89,228.12/332.68
  6. Step 6: Final answer
    x = 268.21

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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.