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Finding the Fourth Proportional to 176.57, 243.64 and 102.86

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Solution

The fourth proportional to 176.57, 243.64 and 102.86 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 243.64 = 102.86 : x
  2. Step 2: Convert to fraction form
    176.57/243.64 = 102.86/x
  3. Step 3: Cross multiply
    176.57x = 243.64 × 102.86
  4. Step 4: Simplify right side
    176.57x = 25,060.81
  5. Step 5: Solve for x
    x = 25,060.81/176.57
  6. Step 6: Final answer
    x = 141.93

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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.