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Finding the Fourth Proportional to 314.92, 472.56 and 199.36

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Solution

The fourth proportional to 314.92, 472.56 and 199.36 is: 299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 472.56 = 199.36 : x
  2. Step 2: Convert to fraction form
    314.92/472.56 = 199.36/x
  3. Step 3: Cross multiply
    314.92x = 472.56 × 199.36
  4. Step 4: Simplify right side
    314.92x = 94,209.56
  5. Step 5: Solve for x
    x = 94,209.56/314.92
  6. Step 6: Final answer
    x = 299.15

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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.