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Finding the Fourth Proportional to 315.28, 472.06 and 178.12

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Solution

The fourth proportional to 315.28, 472.06 and 178.12 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.28 : 472.06 = 178.12 : x
  2. Step 2: Convert to fraction form
    315.28/472.06 = 178.12/x
  3. Step 3: Cross multiply
    315.28x = 472.06 × 178.12
  4. Step 4: Simplify right side
    315.28x = 84,083.33
  5. Step 5: Solve for x
    x = 84,083.33/315.28
  6. Step 6: Final answer
    x = 266.69

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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.