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Finding the Fourth Proportional to 176.24, 243.12 and 102.56

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Solution

The fourth proportional to 176.24, 243.12 and 102.56 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 243.12 = 102.56 : x
  2. Step 2: Convert to fraction form
    176.24/243.12 = 102.56/x
  3. Step 3: Cross multiply
    176.24x = 243.12 × 102.56
  4. Step 4: Simplify right side
    176.24x = 24,934.39
  5. Step 5: Solve for x
    x = 24,934.39/176.24
  6. Step 6: Final answer
    x = 141.48

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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.