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Finding the Fourth Proportional to 177.16, 244.49 and 98.49

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Solution

The fourth proportional to 177.16, 244.49 and 98.49 is: 135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.16 : 244.49 = 98.49 : x
  2. Step 2: Convert to fraction form
    177.16/244.49 = 98.49/x
  3. Step 3: Cross multiply
    177.16x = 244.49 × 98.49
  4. Step 4: Simplify right side
    177.16x = 24,079.82
  5. Step 5: Solve for x
    x = 24,079.82/177.16
  6. Step 6: Final answer
    x = 135.92

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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.