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Finding the Fourth Proportional to 176.49, 243.56 and 98.87

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Solution

The fourth proportional to 176.49, 243.56 and 98.87 is: 136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.49 : 243.56 = 98.87 : x
  2. Step 2: Convert to fraction form
    176.49/243.56 = 98.87/x
  3. Step 3: Cross multiply
    176.49x = 243.56 × 98.87
  4. Step 4: Simplify right side
    176.49x = 24,079.07
  5. Step 5: Solve for x
    x = 24,079.07/176.49
  6. Step 6: Final answer
    x = 136.43

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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.