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Finding the Fourth Proportional to 170.48, 234.90 and 159.92

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Solution

The fourth proportional to 170.48, 234.90 and 159.92 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 234.90 = 159.92 : x
  2. Step 2: Convert to fraction form
    170.48/234.90 = 159.92/x
  3. Step 3: Cross multiply
    170.48x = 234.90 × 159.92
  4. Step 4: Simplify right side
    170.48x = 37,565.21
  5. Step 5: Solve for x
    x = 37,565.21/170.48
  6. Step 6: Final answer
    x = 220.35

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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.