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Finding the Fourth Proportional to 166.40, 249.47 and 56.69

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Solution

The fourth proportional to 166.40, 249.47 and 56.69 is: 84.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 249.47 = 56.69 : x
  2. Step 2: Convert to fraction form
    166.40/249.47 = 56.69/x
  3. Step 3: Cross multiply
    166.40x = 249.47 × 56.69
  4. Step 4: Simplify right side
    166.40x = 14,141.35
  5. Step 5: Solve for x
    x = 14,141.35/166.40
  6. Step 6: Final answer
    x = 84.99

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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.