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Finding the Fourth Proportional to 166.32, 249.47 and 56.64

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Solution

The fourth proportional to 166.32, 249.47 and 56.64 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 249.47 = 56.64 : x
  2. Step 2: Convert to fraction form
    166.32/249.47 = 56.64/x
  3. Step 3: Cross multiply
    166.32x = 249.47 × 56.64
  4. Step 4: Simplify right side
    166.32x = 14,129.98
  5. Step 5: Solve for x
    x = 14,129.98/166.32
  6. Step 6: Final answer
    x = 84.96

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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.