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Finding the Fourth Proportional to 282.54, 425.48 and 246.90

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Solution

The fourth proportional to 282.54, 425.48 and 246.90 is: 371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 425.48 = 246.90 : x
  2. Step 2: Convert to fraction form
    282.54/425.48 = 246.90/x
  3. Step 3: Cross multiply
    282.54x = 425.48 × 246.90
  4. Step 4: Simplify right side
    282.54x = 105,051.01
  5. Step 5: Solve for x
    x = 105,051.01/282.54
  6. Step 6: Final answer
    x = 371.81

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Why These Related Problems?

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