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Finding the Fourth Proportional to 854.15, 1,281.06 and 237.74

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Solution

The fourth proportional to 854.15, 1,281.06 and 237.74 is: 356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.15 : 1,281.06 = 237.74 : x
  2. Step 2: Convert to fraction form
    854.15/1,281.06 = 237.74/x
  3. Step 3: Cross multiply
    854.15x = 1,281.06 × 237.74
  4. Step 4: Simplify right side
    854.15x = 304,552.80
  5. Step 5: Solve for x
    x = 304,552.80/854.15
  6. Step 6: Final answer
    x = 356.56

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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.