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Finding the Fourth Proportional to 282.97, 424.25 and 109.49

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Solution

The fourth proportional to 282.97, 424.25 and 109.49 is: 164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.97 : 424.25 = 109.49 : x
  2. Step 2: Convert to fraction form
    282.97/424.25 = 109.49/x
  3. Step 3: Cross multiply
    282.97x = 424.25 × 109.49
  4. Step 4: Simplify right side
    282.97x = 46,449.32
  5. Step 5: Solve for x
    x = 46,449.32/282.97
  6. Step 6: Final answer
    x = 164.15

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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.