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Finding the Fourth Proportional to 170.31, 255.66 and 139.95

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Solution

The fourth proportional to 170.31, 255.66 and 139.95 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.31 : 255.66 = 139.95 : x
  2. Step 2: Convert to fraction form
    170.31/255.66 = 139.95/x
  3. Step 3: Cross multiply
    170.31x = 255.66 × 139.95
  4. Step 4: Simplify right side
    170.31x = 35,779.62
  5. Step 5: Solve for x
    x = 35,779.62/170.31
  6. Step 6: Final answer
    x = 210.09

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Why These Related Problems?

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