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Finding the Fourth Proportional to 315.42, 472.38 and 185.14

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Solution

The fourth proportional to 315.42, 472.38 and 185.14 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 472.38 = 185.14 : x
  2. Step 2: Convert to fraction form
    315.42/472.38 = 185.14/x
  3. Step 3: Cross multiply
    315.42x = 472.38 × 185.14
  4. Step 4: Simplify right side
    315.42x = 87,456.43
  5. Step 5: Solve for x
    x = 87,456.43/315.42
  6. Step 6: Final answer
    x = 277.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.