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Finding the Fourth Proportional to 176.81, 243.14 and 141.39

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Solution

The fourth proportional to 176.81, 243.14 and 141.39 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 243.14 = 141.39 : x
  2. Step 2: Convert to fraction form
    176.81/243.14 = 141.39/x
  3. Step 3: Cross multiply
    176.81x = 243.14 × 141.39
  4. Step 4: Simplify right side
    176.81x = 34,376.86
  5. Step 5: Solve for x
    x = 34,376.86/176.81
  6. Step 6: Final answer
    x = 194.43

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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.