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Finding the Fourth Proportional to 180.66, 269.76 and 170.52

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Solution

The fourth proportional to 180.66, 269.76 and 170.52 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 269.76 = 170.52 : x
  2. Step 2: Convert to fraction form
    180.66/269.76 = 170.52/x
  3. Step 3: Cross multiply
    180.66x = 269.76 × 170.52
  4. Step 4: Simplify right side
    180.66x = 45,999.48
  5. Step 5: Solve for x
    x = 45,999.48/180.66
  6. Step 6: Final answer
    x = 254.62

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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.