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Finding the Fourth Proportional to 282.31, 421.30 and 251.55

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Solution

The fourth proportional to 282.31, 421.30 and 251.55 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 421.30 = 251.55 : x
  2. Step 2: Convert to fraction form
    282.31/421.30 = 251.55/x
  3. Step 3: Cross multiply
    282.31x = 421.30 × 251.55
  4. Step 4: Simplify right side
    282.31x = 105,978.02
  5. Step 5: Solve for x
    x = 105,978.02/282.31
  6. Step 6: Final answer
    x = 375.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.