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Finding the Fourth Proportional to 170.29, 254.55 and 126.55

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Solution

The fourth proportional to 170.29, 254.55 and 126.55 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 254.55 = 126.55 : x
  2. Step 2: Convert to fraction form
    170.29/254.55 = 126.55/x
  3. Step 3: Cross multiply
    170.29x = 254.55 × 126.55
  4. Step 4: Simplify right side
    170.29x = 32,212.67
  5. Step 5: Solve for x
    x = 32,212.67/170.29
  6. Step 6: Final answer
    x = 189.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.