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Finding the Fourth Proportional to 282.64, 424.14 and 120.46

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Solution

The fourth proportional to 282.64, 424.14 and 120.46 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.64 : 424.14 = 120.46 : x
  2. Step 2: Convert to fraction form
    282.64/424.14 = 120.46/x
  3. Step 3: Cross multiply
    282.64x = 424.14 × 120.46
  4. Step 4: Simplify right side
    282.64x = 51,091.90
  5. Step 5: Solve for x
    x = 51,091.90/282.64
  6. Step 6: Final answer
    x = 180.77

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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.