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Finding the Fourth Proportional to 170.18, 254.95 and 112.23

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Solution

The fourth proportional to 170.18, 254.95 and 112.23 is: 168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.18 : 254.95 = 112.23 : x
  2. Step 2: Convert to fraction form
    170.18/254.95 = 112.23/x
  3. Step 3: Cross multiply
    170.18x = 254.95 × 112.23
  4. Step 4: Simplify right side
    170.18x = 28,613.94
  5. Step 5: Solve for x
    x = 28,613.94/170.18
  6. Step 6: Final answer
    x = 168.14

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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.