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Finding the Fourth Proportional to 176.23, 242.92 and 120.79

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Solution

The fourth proportional to 176.23, 242.92 and 120.79 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 242.92 = 120.79 : x
  2. Step 2: Convert to fraction form
    176.23/242.92 = 120.79/x
  3. Step 3: Cross multiply
    176.23x = 242.92 × 120.79
  4. Step 4: Simplify right side
    176.23x = 29,343.10
  5. Step 5: Solve for x
    x = 29,343.10/176.23
  6. Step 6: Final answer
    x = 166.51

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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.