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Finding the Fourth Proportional to 193.82, 290.76 and 65.56

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Solution

The fourth proportional to 193.82, 290.76 and 65.56 is: 98.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 290.76 = 65.56 : x
  2. Step 2: Convert to fraction form
    193.82/290.76 = 65.56/x
  3. Step 3: Cross multiply
    193.82x = 290.76 × 65.56
  4. Step 4: Simplify right side
    193.82x = 19,062.23
  5. Step 5: Solve for x
    x = 19,062.23/193.82
  6. Step 6: Final answer
    x = 98.35

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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.