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Finding the Fourth Proportional to 318.40, 439.68 and 202

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Solution

The fourth proportional to 318.40, 439.68 and 202 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.40 : 439.68 = 202 : x
  2. Step 2: Convert to fraction form
    318.40/439.68 = 202/x
  3. Step 3: Cross multiply
    318.40x = 439.68 × 202
  4. Step 4: Simplify right side
    318.40x = 88,815.36
  5. Step 5: Solve for x
    x = 88,815.36/318.40
  6. Step 6: Final answer
    x = 278.94

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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.