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Finding the Fourth Proportional to 283.30, 390.98 and 204.86

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Solution

The fourth proportional to 283.30, 390.98 and 204.86 is: 282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 390.98 = 204.86 : x
  2. Step 2: Convert to fraction form
    283.30/390.98 = 204.86/x
  3. Step 3: Cross multiply
    283.30x = 390.98 × 204.86
  4. Step 4: Simplify right side
    283.30x = 80,097.65
  5. Step 5: Solve for x
    x = 80,097.65/283.30
  6. Step 6: Final answer
    x = 282.73

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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.