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Finding the Fourth Proportional to 284.01, 425.95 and 137.76

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Solution

The fourth proportional to 284.01, 425.95 and 137.76 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.01 : 425.95 = 137.76 : x
  2. Step 2: Convert to fraction form
    284.01/425.95 = 137.76/x
  3. Step 3: Cross multiply
    284.01x = 425.95 × 137.76
  4. Step 4: Simplify right side
    284.01x = 58,677.09
  5. Step 5: Solve for x
    x = 58,677.09/284.01
  6. Step 6: Final answer
    x = 206.60

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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.