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Finding the Fourth Proportional to 318.49, 439.45 and 208.13

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Solution

The fourth proportional to 318.49, 439.45 and 208.13 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.49 : 439.45 = 208.13 : x
  2. Step 2: Convert to fraction form
    318.49/439.45 = 208.13/x
  3. Step 3: Cross multiply
    318.49x = 439.45 × 208.13
  4. Step 4: Simplify right side
    318.49x = 91,461.63
  5. Step 5: Solve for x
    x = 91,461.63/318.49
  6. Step 6: Final answer
    x = 287.17

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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.