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Finding the Fourth Proportional to 284.14, 425.24 and 248.03

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Solution

The fourth proportional to 284.14, 425.24 and 248.03 is: 371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 425.24 = 248.03 : x
  2. Step 2: Convert to fraction form
    284.14/425.24 = 248.03/x
  3. Step 3: Cross multiply
    284.14x = 425.24 × 248.03
  4. Step 4: Simplify right side
    284.14x = 105,473.92
  5. Step 5: Solve for x
    x = 105,473.92/284.14
  6. Step 6: Final answer
    x = 371.20

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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.