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Finding the Fourth Proportional to 208.48, 310.90 and 196.24

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Solution

The fourth proportional to 208.48, 310.90 and 196.24 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 310.90 = 196.24 : x
  2. Step 2: Convert to fraction form
    208.48/310.90 = 196.24/x
  3. Step 3: Cross multiply
    208.48x = 310.90 × 196.24
  4. Step 4: Simplify right side
    208.48x = 61,011.02
  5. Step 5: Solve for x
    x = 61,011.02/208.48
  6. Step 6: Final answer
    x = 292.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.