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Finding the Fourth Proportional to 282.84, 424.08 and 120.60

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Solution

The fourth proportional to 282.84, 424.08 and 120.60 is: 180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 424.08 = 120.60 : x
  2. Step 2: Convert to fraction form
    282.84/424.08 = 120.60/x
  3. Step 3: Cross multiply
    282.84x = 424.08 × 120.60
  4. Step 4: Simplify right side
    282.84x = 51,144.05
  5. Step 5: Solve for x
    x = 51,144.05/282.84
  6. Step 6: Final answer
    x = 180.82

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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.