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Finding the Fourth Proportional to 282.52, 390.18 and 200.08

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Solution

The fourth proportional to 282.52, 390.18 and 200.08 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 390.18 = 200.08 : x
  2. Step 2: Convert to fraction form
    282.52/390.18 = 200.08/x
  3. Step 3: Cross multiply
    282.52x = 390.18 × 200.08
  4. Step 4: Simplify right side
    282.52x = 78,067.21
  5. Step 5: Solve for x
    x = 78,067.21/282.52
  6. Step 6: Final answer
    x = 276.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.