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Finding the Fourth Proportional to 176.56, 243.68 and 98.96

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Solution

The fourth proportional to 176.56, 243.68 and 98.96 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.56 : 243.68 = 98.96 : x
  2. Step 2: Convert to fraction form
    176.56/243.68 = 98.96/x
  3. Step 3: Cross multiply
    176.56x = 243.68 × 98.96
  4. Step 4: Simplify right side
    176.56x = 24,114.57
  5. Step 5: Solve for x
    x = 24,114.57/176.56
  6. Step 6: Final answer
    x = 136.58

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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.