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Finding the Fourth Proportional to 166.47, 250.59 and 128.16

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Solution

The fourth proportional to 166.47, 250.59 and 128.16 is: 192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.47 : 250.59 = 128.16 : x
  2. Step 2: Convert to fraction form
    166.47/250.59 = 128.16/x
  3. Step 3: Cross multiply
    166.47x = 250.59 × 128.16
  4. Step 4: Simplify right side
    166.47x = 32,115.61
  5. Step 5: Solve for x
    x = 32,115.61/166.47
  6. Step 6: Final answer
    x = 192.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.