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Finding the Fourth Proportional to 280.74, 387.24 and 225.36

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Solution

The fourth proportional to 280.74, 387.24 and 225.36 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 387.24 = 225.36 : x
  2. Step 2: Convert to fraction form
    280.74/387.24 = 225.36/x
  3. Step 3: Cross multiply
    280.74x = 387.24 × 225.36
  4. Step 4: Simplify right side
    280.74x = 87,268.41
  5. Step 5: Solve for x
    x = 87,268.41/280.74
  6. Step 6: Final answer
    x = 310.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.