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Finding the Fourth Proportional to 283.52, 390.98 and 205.76

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Solution

The fourth proportional to 283.52, 390.98 and 205.76 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.52 : 390.98 = 205.76 : x
  2. Step 2: Convert to fraction form
    283.52/390.98 = 205.76/x
  3. Step 3: Cross multiply
    283.52x = 390.98 × 205.76
  4. Step 4: Simplify right side
    283.52x = 80,448.04
  5. Step 5: Solve for x
    x = 80,448.04/283.52
  6. Step 6: Final answer
    x = 283.75

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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.