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Finding the Fourth Proportional to 282.65, 423.71 and 120.35

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Solution

The fourth proportional to 282.65, 423.71 and 120.35 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.65 : 423.71 = 120.35 : x
  2. Step 2: Convert to fraction form
    282.65/423.71 = 120.35/x
  3. Step 3: Cross multiply
    282.65x = 423.71 × 120.35
  4. Step 4: Simplify right side
    282.65x = 50,990.78
  5. Step 5: Solve for x
    x = 50,990.78/282.65
  6. Step 6: Final answer
    x = 180.41

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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.