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Finding the Fourth Proportional to 193.79, 290.89 and 102.46

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Solution

The fourth proportional to 193.79, 290.89 and 102.46 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 290.89 = 102.46 : x
  2. Step 2: Convert to fraction form
    193.79/290.89 = 102.46/x
  3. Step 3: Cross multiply
    193.79x = 290.89 × 102.46
  4. Step 4: Simplify right side
    193.79x = 29,803.13
  5. Step 5: Solve for x
    x = 29,803.13/193.79
  6. Step 6: Final answer
    x = 153.79

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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.