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Finding the Fourth Proportional to 174.64, 263.09 and 147.31

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Solution

The fourth proportional to 174.64, 263.09 and 147.31 is: 221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 263.09 = 147.31 : x
  2. Step 2: Convert to fraction form
    174.64/263.09 = 147.31/x
  3. Step 3: Cross multiply
    174.64x = 263.09 × 147.31
  4. Step 4: Simplify right side
    174.64x = 38,755.79
  5. Step 5: Solve for x
    x = 38,755.79/174.64
  6. Step 6: Final answer
    x = 221.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.