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Finding the Fourth Proportional to 282.70, 424.49 and 248.75

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Solution

The fourth proportional to 282.70, 424.49 and 248.75 is: 373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 424.49 = 248.75 : x
  2. Step 2: Convert to fraction form
    282.70/424.49 = 248.75/x
  3. Step 3: Cross multiply
    282.70x = 424.49 × 248.75
  4. Step 4: Simplify right side
    282.70x = 105,588.52
  5. Step 5: Solve for x
    x = 105,588.52/282.70
  6. Step 6: Final answer
    x = 373.50

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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.