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Finding the Fourth Proportional to 855.13, 1,282.49 and 238.86

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Solution

The fourth proportional to 855.13, 1,282.49 and 238.86 is: 358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.13 : 1,282.49 = 238.86 : x
  2. Step 2: Convert to fraction form
    855.13/1,282.49 = 238.86/x
  3. Step 3: Cross multiply
    855.13x = 1,282.49 × 238.86
  4. Step 4: Simplify right side
    855.13x = 306,329.15
  5. Step 5: Solve for x
    x = 306,329.15/855.13
  6. Step 6: Final answer
    x = 358.23

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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.