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Finding the Fourth Proportional to 176.35, 243.16 and 165.76

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Solution

The fourth proportional to 176.35, 243.16 and 165.76 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.35 : 243.16 = 165.76 : x
  2. Step 2: Convert to fraction form
    176.35/243.16 = 165.76/x
  3. Step 3: Cross multiply
    176.35x = 243.16 × 165.76
  4. Step 4: Simplify right side
    176.35x = 40,306.20
  5. Step 5: Solve for x
    x = 40,306.20/176.35
  6. Step 6: Final answer
    x = 228.56

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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.