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Finding the Fourth Proportional to 193.56, 290.33 and 90.93

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Solution

The fourth proportional to 193.56, 290.33 and 90.93 is: 136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.33 = 90.93 : x
  2. Step 2: Convert to fraction form
    193.56/290.33 = 90.93/x
  3. Step 3: Cross multiply
    193.56x = 290.33 × 90.93
  4. Step 4: Simplify right side
    193.56x = 26,399.71
  5. Step 5: Solve for x
    x = 26,399.71/193.56
  6. Step 6: Final answer
    x = 136.39

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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.