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Finding the Fourth Proportional to 176.24, 243.20 and 109.82

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Solution

The fourth proportional to 176.24, 243.20 and 109.82 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 243.20 = 109.82 : x
  2. Step 2: Convert to fraction form
    176.24/243.20 = 109.82/x
  3. Step 3: Cross multiply
    176.24x = 243.20 × 109.82
  4. Step 4: Simplify right side
    176.24x = 26,706.46
  5. Step 5: Solve for x
    x = 26,706.46/176.24
  6. Step 6: Final answer
    x = 151.54

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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.