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Finding the Fourth Proportional to 332.58, 499.10 and 116.16

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Solution

The fourth proportional to 332.58, 499.10 and 116.16 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.58 : 499.10 = 116.16 : x
  2. Step 2: Convert to fraction form
    332.58/499.10 = 116.16/x
  3. Step 3: Cross multiply
    332.58x = 499.10 × 116.16
  4. Step 4: Simplify right side
    332.58x = 57,974.88
  5. Step 5: Solve for x
    x = 57,974.88/332.58
  6. Step 6: Final answer
    x = 174.32

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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.