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Finding the Fourth Proportional to 176.53, 243.60 and 97.86

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Solution

The fourth proportional to 176.53, 243.60 and 97.86 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 243.60 = 97.86 : x
  2. Step 2: Convert to fraction form
    176.53/243.60 = 97.86/x
  3. Step 3: Cross multiply
    176.53x = 243.60 × 97.86
  4. Step 4: Simplify right side
    176.53x = 23,837.48
  5. Step 5: Solve for x
    x = 23,837.48/176.53
  6. Step 6: Final answer
    x = 135.04

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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.