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Finding the Fourth Proportional to 166.15, 248.98 and 89.08

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Solution

The fourth proportional to 166.15, 248.98 and 89.08 is: 133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 248.98 = 89.08 : x
  2. Step 2: Convert to fraction form
    166.15/248.98 = 89.08/x
  3. Step 3: Cross multiply
    166.15x = 248.98 × 89.08
  4. Step 4: Simplify right side
    166.15x = 22,179.14
  5. Step 5: Solve for x
    x = 22,179.14/166.15
  6. Step 6: Final answer
    x = 133.49

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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.