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Finding the Fourth Proportional to 284.18, 425.50 and 180.90

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Solution

The fourth proportional to 284.18, 425.50 and 180.90 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.18 : 425.50 = 180.90 : x
  2. Step 2: Convert to fraction form
    284.18/425.50 = 180.90/x
  3. Step 3: Cross multiply
    284.18x = 425.50 × 180.90
  4. Step 4: Simplify right side
    284.18x = 76,973.52
  5. Step 5: Solve for x
    x = 76,973.52/284.18
  6. Step 6: Final answer
    x = 270.87

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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.