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Finding the Fourth Proportional to 315.44, 472.56 and 193.76

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Solution

The fourth proportional to 315.44, 472.56 and 193.76 is: 290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.44 : 472.56 = 193.76 : x
  2. Step 2: Convert to fraction form
    315.44/472.56 = 193.76/x
  3. Step 3: Cross multiply
    315.44x = 472.56 × 193.76
  4. Step 4: Simplify right side
    315.44x = 91,563.23
  5. Step 5: Solve for x
    x = 91,563.23/315.44
  6. Step 6: Final answer
    x = 290.27

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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.