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Finding the Fourth Proportional to 282.48, 425.28 and 248.46

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Solution

The fourth proportional to 282.48, 425.28 and 248.46 is: 374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 425.28 = 248.46 : x
  2. Step 2: Convert to fraction form
    282.48/425.28 = 248.46/x
  3. Step 3: Cross multiply
    282.48x = 425.28 × 248.46
  4. Step 4: Simplify right side
    282.48x = 105,665.07
  5. Step 5: Solve for x
    x = 105,665.07/282.48
  6. Step 6: Final answer
    x = 374.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.