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Finding the Fourth Proportional to 282.41, 423.06 and 221.26

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Solution

The fourth proportional to 282.41, 423.06 and 221.26 is: 331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 423.06 = 221.26 : x
  2. Step 2: Convert to fraction form
    282.41/423.06 = 221.26/x
  3. Step 3: Cross multiply
    282.41x = 423.06 × 221.26
  4. Step 4: Simplify right side
    282.41x = 93,605.20
  5. Step 5: Solve for x
    x = 93,605.20/282.41
  6. Step 6: Final answer
    x = 331.45

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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.