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Finding the Fourth Proportional to 193.52, 290.34 and 102.17

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Solution

The fourth proportional to 193.52, 290.34 and 102.17 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 290.34 = 102.17 : x
  2. Step 2: Convert to fraction form
    193.52/290.34 = 102.17/x
  3. Step 3: Cross multiply
    193.52x = 290.34 × 102.17
  4. Step 4: Simplify right side
    193.52x = 29,662.59
  5. Step 5: Solve for x
    x = 29,662.59/193.52
  6. Step 6: Final answer
    x = 153.28

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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.