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Finding the Fourth Proportional to 166.89, 250.35 and 64.16

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Solution

The fourth proportional to 166.89, 250.35 and 64.16 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 250.35 = 64.16 : x
  2. Step 2: Convert to fraction form
    166.89/250.35 = 64.16/x
  3. Step 3: Cross multiply
    166.89x = 250.35 × 64.16
  4. Step 4: Simplify right side
    166.89x = 16,062.14
  5. Step 5: Solve for x
    x = 16,062.14/166.89
  6. Step 6: Final answer
    x = 96.24

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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.