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Finding the Fourth Proportional to 284.24, 425.86 and 207.19

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Solution

The fourth proportional to 284.24, 425.86 and 207.19 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 425.86 = 207.19 : x
  2. Step 2: Convert to fraction form
    284.24/425.86 = 207.19/x
  3. Step 3: Cross multiply
    284.24x = 425.86 × 207.19
  4. Step 4: Simplify right side
    284.24x = 88,233.95
  5. Step 5: Solve for x
    x = 88,233.95/284.24
  6. Step 6: Final answer
    x = 310.42

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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.