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Finding the Fourth Proportional to 315.14, 472.43 and 122.63

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Solution

The fourth proportional to 315.14, 472.43 and 122.63 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 472.43 = 122.63 : x
  2. Step 2: Convert to fraction form
    315.14/472.43 = 122.63/x
  3. Step 3: Cross multiply
    315.14x = 472.43 × 122.63
  4. Step 4: Simplify right side
    315.14x = 57,932.04
  5. Step 5: Solve for x
    x = 57,932.04/315.14
  6. Step 6: Final answer
    x = 183.83

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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.