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Finding the Fourth Proportional to 166.86, 230.07 and 114.24

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Solution

The fourth proportional to 166.86, 230.07 and 114.24 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.07 = 114.24 : x
  2. Step 2: Convert to fraction form
    166.86/230.07 = 114.24/x
  3. Step 3: Cross multiply
    166.86x = 230.07 × 114.24
  4. Step 4: Simplify right side
    166.86x = 26,284.49
  5. Step 5: Solve for x
    x = 26,284.49/166.86
  6. Step 6: Final answer
    x = 157.52

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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.