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Finding the Fourth Proportional to 282.48, 423.84 and 120.12

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Solution

The fourth proportional to 282.48, 423.84 and 120.12 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 423.84 = 120.12 : x
  2. Step 2: Convert to fraction form
    282.48/423.84 = 120.12/x
  3. Step 3: Cross multiply
    282.48x = 423.84 × 120.12
  4. Step 4: Simplify right side
    282.48x = 50,911.66
  5. Step 5: Solve for x
    x = 50,911.66/282.48
  6. Step 6: Final answer
    x = 180.23

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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.