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Finding the Fourth Proportional to 205.59, 307.61 and 114.36

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Solution

The fourth proportional to 205.59, 307.61 and 114.36 is: 171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 307.61 = 114.36 : x
  2. Step 2: Convert to fraction form
    205.59/307.61 = 114.36/x
  3. Step 3: Cross multiply
    205.59x = 307.61 × 114.36
  4. Step 4: Simplify right side
    205.59x = 35,177.71
  5. Step 5: Solve for x
    x = 35,177.71/205.59
  6. Step 6: Final answer
    x = 171.11

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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.