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Finding the Fourth Proportional to 314.69, 472.07 and 106.49

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Solution

The fourth proportional to 314.69, 472.07 and 106.49 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 472.07 = 106.49 : x
  2. Step 2: Convert to fraction form
    314.69/472.07 = 106.49/x
  3. Step 3: Cross multiply
    314.69x = 472.07 × 106.49
  4. Step 4: Simplify right side
    314.69x = 50,270.73
  5. Step 5: Solve for x
    x = 50,270.73/314.69
  6. Step 6: Final answer
    x = 159.75

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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.