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Finding the Fourth Proportional to 282.25, 423.56 and 109.06

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Solution

The fourth proportional to 282.25, 423.56 and 109.06 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 423.56 = 109.06 : x
  2. Step 2: Convert to fraction form
    282.25/423.56 = 109.06/x
  3. Step 3: Cross multiply
    282.25x = 423.56 × 109.06
  4. Step 4: Simplify right side
    282.25x = 46,193.45
  5. Step 5: Solve for x
    x = 46,193.45/282.25
  6. Step 6: Final answer
    x = 163.66

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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.