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Finding the Fourth Proportional to 193.01, 266.15 and 115.43

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Solution

The fourth proportional to 193.01, 266.15 and 115.43 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 266.15 = 115.43 : x
  2. Step 2: Convert to fraction form
    193.01/266.15 = 115.43/x
  3. Step 3: Cross multiply
    193.01x = 266.15 × 115.43
  4. Step 4: Simplify right side
    193.01x = 30,720.65
  5. Step 5: Solve for x
    x = 30,720.65/193.01
  6. Step 6: Final answer
    x = 159.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.