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Finding the Fourth Proportional to 282.82, 423.54 and 244.12

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Solution

The fourth proportional to 282.82, 423.54 and 244.12 is: 365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.82 : 423.54 = 244.12 : x
  2. Step 2: Convert to fraction form
    282.82/423.54 = 244.12/x
  3. Step 3: Cross multiply
    282.82x = 423.54 × 244.12
  4. Step 4: Simplify right side
    282.82x = 103,394.58
  5. Step 5: Solve for x
    x = 103,394.58/282.82
  6. Step 6: Final answer
    x = 365.58

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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.