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Finding the Fourth Proportional to 193.71, 290.46 and 102.18

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Solution

The fourth proportional to 193.71, 290.46 and 102.18 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.71 : 290.46 = 102.18 : x
  2. Step 2: Convert to fraction form
    193.71/290.46 = 102.18/x
  3. Step 3: Cross multiply
    193.71x = 290.46 × 102.18
  4. Step 4: Simplify right side
    193.71x = 29,679.20
  5. Step 5: Solve for x
    x = 29,679.20/193.71
  6. Step 6: Final answer
    x = 153.21

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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.