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Finding the Fourth Proportional to 166.30, 229.45 and 98.99

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Solution

The fourth proportional to 166.30, 229.45 and 98.99 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 229.45 = 98.99 : x
  2. Step 2: Convert to fraction form
    166.30/229.45 = 98.99/x
  3. Step 3: Cross multiply
    166.30x = 229.45 × 98.99
  4. Step 4: Simplify right side
    166.30x = 22,713.26
  5. Step 5: Solve for x
    x = 22,713.26/166.30
  6. Step 6: Final answer
    x = 136.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.