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Finding the Fourth Proportional to 345.87, 477.31 and 196.50

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Solution

The fourth proportional to 345.87, 477.31 and 196.50 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.87 : 477.31 = 196.50 : x
  2. Step 2: Convert to fraction form
    345.87/477.31 = 196.50/x
  3. Step 3: Cross multiply
    345.87x = 477.31 × 196.50
  4. Step 4: Simplify right side
    345.87x = 93,791.42
  5. Step 5: Solve for x
    x = 93,791.42/345.87
  6. Step 6: Final answer
    x = 271.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.