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Finding the Fourth Proportional to 193.74, 290.76 and 102.42

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Solution

The fourth proportional to 193.74, 290.76 and 102.42 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.74 : 290.76 = 102.42 : x
  2. Step 2: Convert to fraction form
    193.74/290.76 = 102.42/x
  3. Step 3: Cross multiply
    193.74x = 290.76 × 102.42
  4. Step 4: Simplify right side
    193.74x = 29,779.64
  5. Step 5: Solve for x
    x = 29,779.64/193.74
  6. Step 6: Final answer
    x = 153.71

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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.