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Finding the Fourth Proportional to 205.29, 308.13 and 114.18

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Solution

The fourth proportional to 205.29, 308.13 and 114.18 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 308.13 = 114.18 : x
  2. Step 2: Convert to fraction form
    205.29/308.13 = 114.18/x
  3. Step 3: Cross multiply
    205.29x = 308.13 × 114.18
  4. Step 4: Simplify right side
    205.29x = 35,182.28
  5. Step 5: Solve for x
    x = 35,182.28/205.29
  6. Step 6: Final answer
    x = 171.38

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