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Finding the Fourth Proportional to 170.52, 256 and 143.66

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Solution

The fourth proportional to 170.52, 256 and 143.66 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.52 : 256 = 143.66 : x
  2. Step 2: Convert to fraction form
    170.52/256 = 143.66/x
  3. Step 3: Cross multiply
    170.52x = 256 × 143.66
  4. Step 4: Simplify right side
    170.52x = 36,776.96
  5. Step 5: Solve for x
    x = 36,776.96/170.52
  6. Step 6: Final answer
    x = 215.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.