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Finding the Fourth Proportional to 177.14, 244.42 and 98.46

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Solution

The fourth proportional to 177.14, 244.42 and 98.46 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 244.42 = 98.46 : x
  2. Step 2: Convert to fraction form
    177.14/244.42 = 98.46/x
  3. Step 3: Cross multiply
    177.14x = 244.42 × 98.46
  4. Step 4: Simplify right side
    177.14x = 24,065.59
  5. Step 5: Solve for x
    x = 24,065.59/177.14
  6. Step 6: Final answer
    x = 135.86

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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.