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Finding the Fourth Proportional to 166.61, 250.01 and 105.76

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Solution

The fourth proportional to 166.61, 250.01 and 105.76 is: 158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.61 : 250.01 = 105.76 : x
  2. Step 2: Convert to fraction form
    166.61/250.01 = 105.76/x
  3. Step 3: Cross multiply
    166.61x = 250.01 × 105.76
  4. Step 4: Simplify right side
    166.61x = 26,439.28
  5. Step 5: Solve for x
    x = 26,439.28/166.61
  6. Step 6: Final answer
    x = 158.69

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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.