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Finding the Fourth Proportional to 193.27, 266.72 and 110.34

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Solution

The fourth proportional to 193.27, 266.72 and 110.34 is: 152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 266.72 = 110.34 : x
  2. Step 2: Convert to fraction form
    193.27/266.72 = 110.34/x
  3. Step 3: Cross multiply
    193.27x = 266.72 × 110.34
  4. Step 4: Simplify right side
    193.27x = 29,429.88
  5. Step 5: Solve for x
    x = 29,429.88/193.27
  6. Step 6: Final answer
    x = 152.27

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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.