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Finding the Fourth Proportional to 282.97, 424.59 and 248.68

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Solution

The fourth proportional to 282.97, 424.59 and 248.68 is: 373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.97 : 424.59 = 248.68 : x
  2. Step 2: Convert to fraction form
    282.97/424.59 = 248.68/x
  3. Step 3: Cross multiply
    282.97x = 424.59 × 248.68
  4. Step 4: Simplify right side
    282.97x = 105,587.04
  5. Step 5: Solve for x
    x = 105,587.04/282.97
  6. Step 6: Final answer
    x = 373.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.