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Finding the Fourth Proportional to 332.35, 498.02 and 158.78

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Solution

The fourth proportional to 332.35, 498.02 and 158.78 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.35 : 498.02 = 158.78 : x
  2. Step 2: Convert to fraction form
    332.35/498.02 = 158.78/x
  3. Step 3: Cross multiply
    332.35x = 498.02 × 158.78
  4. Step 4: Simplify right side
    332.35x = 79,076.52
  5. Step 5: Solve for x
    x = 79,076.52/332.35
  6. Step 6: Final answer
    x = 237.93

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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.