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Finding the Fourth Proportional to 166, 249 and 57.79

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Solution

The fourth proportional to 166, 249 and 57.79 is: 86.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 249 = 57.79 : x
  2. Step 2: Convert to fraction form
    166/249 = 57.79/x
  3. Step 3: Cross multiply
    166x = 249 × 57.79
  4. Step 4: Simplify right side
    166x = 14,389.71
  5. Step 5: Solve for x
    x = 14,389.71/166
  6. Step 6: Final answer
    x = 86.69

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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.