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Finding the Fourth Proportional to 282.64, 423.96 and 186.52

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Solution

The fourth proportional to 282.64, 423.96 and 186.52 is: 279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.64 : 423.96 = 186.52 : x
  2. Step 2: Convert to fraction form
    282.64/423.96 = 186.52/x
  3. Step 3: Cross multiply
    282.64x = 423.96 × 186.52
  4. Step 4: Simplify right side
    282.64x = 79,077.02
  5. Step 5: Solve for x
    x = 79,077.02/282.64
  6. Step 6: Final answer
    x = 279.78

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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.