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Finding the Fourth Proportional to 176.70, 264.90 and 158.61

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Solution

The fourth proportional to 176.70, 264.90 and 158.61 is: 237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 264.90 = 158.61 : x
  2. Step 2: Convert to fraction form
    176.70/264.90 = 158.61/x
  3. Step 3: Cross multiply
    176.70x = 264.90 × 158.61
  4. Step 4: Simplify right side
    176.70x = 42,015.79
  5. Step 5: Solve for x
    x = 42,015.79/176.70
  6. Step 6: Final answer
    x = 237.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.