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Finding the Fourth Proportional to 175.86, 264.92 and 144.18

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Solution

The fourth proportional to 175.86, 264.92 and 144.18 is: 217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 264.92 = 144.18 : x
  2. Step 2: Convert to fraction form
    175.86/264.92 = 144.18/x
  3. Step 3: Cross multiply
    175.86x = 264.92 × 144.18
  4. Step 4: Simplify right side
    175.86x = 38,195.44
  5. Step 5: Solve for x
    x = 38,195.44/175.86
  6. Step 6: Final answer
    x = 217.19

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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.