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Finding the Fourth Proportional to 282.41, 423.61 and 97.30

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Solution

The fourth proportional to 282.41, 423.61 and 97.30 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 423.61 = 97.30 : x
  2. Step 2: Convert to fraction form
    282.41/423.61 = 97.30/x
  3. Step 3: Cross multiply
    282.41x = 423.61 × 97.30
  4. Step 4: Simplify right side
    282.41x = 41,217.25
  5. Step 5: Solve for x
    x = 41,217.25/282.41
  6. Step 6: Final answer
    x = 145.95

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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.