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Finding the Fourth Proportional to 332.98, 499.70 and 116.56

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Solution

The fourth proportional to 332.98, 499.70 and 116.56 is: 174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.98 : 499.70 = 116.56 : x
  2. Step 2: Convert to fraction form
    332.98/499.70 = 116.56/x
  3. Step 3: Cross multiply
    332.98x = 499.70 × 116.56
  4. Step 4: Simplify right side
    332.98x = 58,241.95
  5. Step 5: Solve for x
    x = 58,241.95/332.98
  6. Step 6: Final answer
    x = 174.91

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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.