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Finding the Fourth Proportional to 331.92, 497.72 and 100.77

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Solution

The fourth proportional to 331.92, 497.72 and 100.77 is: 151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 497.72 = 100.77 : x
  2. Step 2: Convert to fraction form
    331.92/497.72 = 100.77/x
  3. Step 3: Cross multiply
    331.92x = 497.72 × 100.77
  4. Step 4: Simplify right side
    331.92x = 50,155.24
  5. Step 5: Solve for x
    x = 50,155.24/331.92
  6. Step 6: Final answer
    x = 151.11

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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.