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Finding the Fourth Proportional to 314.97, 472.14 and 199.54

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Solution

The fourth proportional to 314.97, 472.14 and 199.54 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.97 : 472.14 = 199.54 : x
  2. Step 2: Convert to fraction form
    314.97/472.14 = 199.54/x
  3. Step 3: Cross multiply
    314.97x = 472.14 × 199.54
  4. Step 4: Simplify right side
    314.97x = 94,211.41
  5. Step 5: Solve for x
    x = 94,211.41/314.97
  6. Step 6: Final answer
    x = 299.12

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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.