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Finding the Fourth Proportional to 315.97, 473.28 and 206.08

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Solution

The fourth proportional to 315.97, 473.28 and 206.08 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.97 : 473.28 = 206.08 : x
  2. Step 2: Convert to fraction form
    315.97/473.28 = 206.08/x
  3. Step 3: Cross multiply
    315.97x = 473.28 × 206.08
  4. Step 4: Simplify right side
    315.97x = 97,533.54
  5. Step 5: Solve for x
    x = 97,533.54/315.97
  6. Step 6: Final answer
    x = 308.68

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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.