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Finding the Fourth Proportional to 176.44, 243.48 and 102.78

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Solution

The fourth proportional to 176.44, 243.48 and 102.78 is: 141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.44 : 243.48 = 102.78 : x
  2. Step 2: Convert to fraction form
    176.44/243.48 = 102.78/x
  3. Step 3: Cross multiply
    176.44x = 243.48 × 102.78
  4. Step 4: Simplify right side
    176.44x = 25,024.87
  5. Step 5: Solve for x
    x = 25,024.87/176.44
  6. Step 6: Final answer
    x = 141.83

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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.