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Finding the Fourth Proportional to 175.97, 262.52 and 147.26

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Solution

The fourth proportional to 175.97, 262.52 and 147.26 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 262.52 = 147.26 : x
  2. Step 2: Convert to fraction form
    175.97/262.52 = 147.26/x
  3. Step 3: Cross multiply
    175.97x = 262.52 × 147.26
  4. Step 4: Simplify right side
    175.97x = 38,659.17
  5. Step 5: Solve for x
    x = 38,659.17/175.97
  6. Step 6: Final answer
    x = 219.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.