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Finding the Fourth Proportional to 176.18, 242.90 and 120.83

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Solution

The fourth proportional to 176.18, 242.90 and 120.83 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.18 : 242.90 = 120.83 : x
  2. Step 2: Convert to fraction form
    176.18/242.90 = 120.83/x
  3. Step 3: Cross multiply
    176.18x = 242.90 × 120.83
  4. Step 4: Simplify right side
    176.18x = 29,348.69
  5. Step 5: Solve for x
    x = 29,348.69/176.18
  6. Step 6: Final answer
    x = 166.58

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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.