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Finding the Fourth Proportional to 170.18, 255.22 and 142.93

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Solution

The fourth proportional to 170.18, 255.22 and 142.93 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.18 : 255.22 = 142.93 : x
  2. Step 2: Convert to fraction form
    170.18/255.22 = 142.93/x
  3. Step 3: Cross multiply
    170.18x = 255.22 × 142.93
  4. Step 4: Simplify right side
    170.18x = 36,478.59
  5. Step 5: Solve for x
    x = 36,478.59/170.18
  6. Step 6: Final answer
    x = 214.35

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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.