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Finding the Fourth Proportional to 166.66, 229.87 and 114.24

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Solution

The fourth proportional to 166.66, 229.87 and 114.24 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 229.87 = 114.24 : x
  2. Step 2: Convert to fraction form
    166.66/229.87 = 114.24/x
  3. Step 3: Cross multiply
    166.66x = 229.87 × 114.24
  4. Step 4: Simplify right side
    166.66x = 26,261.35
  5. Step 5: Solve for x
    x = 26,261.35/166.66
  6. Step 6: Final answer
    x = 157.58

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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.