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Finding the Fourth Proportional to 315.87, 472.68 and 206.12

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Solution

The fourth proportional to 315.87, 472.68 and 206.12 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 472.68 = 206.12 : x
  2. Step 2: Convert to fraction form
    315.87/472.68 = 206.12/x
  3. Step 3: Cross multiply
    315.87x = 472.68 × 206.12
  4. Step 4: Simplify right side
    315.87x = 97,428.80
  5. Step 5: Solve for x
    x = 97,428.80/315.87
  6. Step 6: Final answer
    x = 308.45

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