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Finding the Fourth Proportional to 282.70, 424 and 120.36

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Solution

The fourth proportional to 282.70, 424 and 120.36 is: 180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 424 = 120.36 : x
  2. Step 2: Convert to fraction form
    282.70/424 = 120.36/x
  3. Step 3: Cross multiply
    282.70x = 424 × 120.36
  4. Step 4: Simplify right side
    282.70x = 51,032.64
  5. Step 5: Solve for x
    x = 51,032.64/282.70
  6. Step 6: Final answer
    x = 180.52

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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.