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Finding the Fourth Proportional to 166.93, 250.24 and 97.51

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Solution

The fourth proportional to 166.93, 250.24 and 97.51 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 250.24 = 97.51 : x
  2. Step 2: Convert to fraction form
    166.93/250.24 = 97.51/x
  3. Step 3: Cross multiply
    166.93x = 250.24 × 97.51
  4. Step 4: Simplify right side
    166.93x = 24,400.90
  5. Step 5: Solve for x
    x = 24,400.90/166.93
  6. Step 6: Final answer
    x = 146.17

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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.