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Finding the Fourth Proportional to 332.24, 498.12 and 187.88

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Solution

The fourth proportional to 332.24, 498.12 and 187.88 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 498.12 = 187.88 : x
  2. Step 2: Convert to fraction form
    332.24/498.12 = 187.88/x
  3. Step 3: Cross multiply
    332.24x = 498.12 × 187.88
  4. Step 4: Simplify right side
    332.24x = 93,586.79
  5. Step 5: Solve for x
    x = 93,586.79/332.24
  6. Step 6: Final answer
    x = 281.68

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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.