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Finding the Fourth Proportional to 315.78, 473.22 and 185.82

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Solution

The fourth proportional to 315.78, 473.22 and 185.82 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 473.22 = 185.82 : x
  2. Step 2: Convert to fraction form
    315.78/473.22 = 185.82/x
  3. Step 3: Cross multiply
    315.78x = 473.22 × 185.82
  4. Step 4: Simplify right side
    315.78x = 87,933.74
  5. Step 5: Solve for x
    x = 87,933.74/315.78
  6. Step 6: Final answer
    x = 278.47

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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.