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Finding the Fourth Proportional to 316.97, 474.96 and 208.52

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Solution

The fourth proportional to 316.97, 474.96 and 208.52 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.97 : 474.96 = 208.52 : x
  2. Step 2: Convert to fraction form
    316.97/474.96 = 208.52/x
  3. Step 3: Cross multiply
    316.97x = 474.96 × 208.52
  4. Step 4: Simplify right side
    316.97x = 99,037.62
  5. Step 5: Solve for x
    x = 99,037.62/316.97
  6. Step 6: Final answer
    x = 312.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.