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Finding the Fourth Proportional to 193.27, 266.64 and 114.57

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Solution

The fourth proportional to 193.27, 266.64 and 114.57 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 266.64 = 114.57 : x
  2. Step 2: Convert to fraction form
    193.27/266.64 = 114.57/x
  3. Step 3: Cross multiply
    193.27x = 266.64 × 114.57
  4. Step 4: Simplify right side
    193.27x = 30,548.94
  5. Step 5: Solve for x
    x = 30,548.94/193.27
  6. Step 6: Final answer
    x = 158.06

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Why These Related Problems?

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