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Finding the Fourth Proportional to 332.12, 498.01 and 100.96

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Solution

The fourth proportional to 332.12, 498.01 and 100.96 is: 151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.12 : 498.01 = 100.96 : x
  2. Step 2: Convert to fraction form
    332.12/498.01 = 100.96/x
  3. Step 3: Cross multiply
    332.12x = 498.01 × 100.96
  4. Step 4: Simplify right side
    332.12x = 50,279.09
  5. Step 5: Solve for x
    x = 50,279.09/332.12
  6. Step 6: Final answer
    x = 151.39

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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.