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Finding the Fourth Proportional to 282.42, 423.62 and 120.24

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Solution

The fourth proportional to 282.42, 423.62 and 120.24 is: 180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.62 = 120.24 : x
  2. Step 2: Convert to fraction form
    282.42/423.62 = 120.24/x
  3. Step 3: Cross multiply
    282.42x = 423.62 × 120.24
  4. Step 4: Simplify right side
    282.42x = 50,936.07
  5. Step 5: Solve for x
    x = 50,936.07/282.42
  6. Step 6: Final answer
    x = 180.36

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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.