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Finding the Fourth Proportional to 177.46, 244.89 and 99.83

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Solution

The fourth proportional to 177.46, 244.89 and 99.83 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 244.89 = 99.83 : x
  2. Step 2: Convert to fraction form
    177.46/244.89 = 99.83/x
  3. Step 3: Cross multiply
    177.46x = 244.89 × 99.83
  4. Step 4: Simplify right side
    177.46x = 24,446.87
  5. Step 5: Solve for x
    x = 24,446.87/177.46
  6. Step 6: Final answer
    x = 137.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.