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Finding the Fourth Proportional to 193.49, 290.14 and 90.82

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Solution

The fourth proportional to 193.49, 290.14 and 90.82 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 290.14 = 90.82 : x
  2. Step 2: Convert to fraction form
    193.49/290.14 = 90.82/x
  3. Step 3: Cross multiply
    193.49x = 290.14 × 90.82
  4. Step 4: Simplify right side
    193.49x = 26,350.51
  5. Step 5: Solve for x
    x = 26,350.51/193.49
  6. Step 6: Final answer
    x = 136.19

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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.