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Finding the Fourth Proportional to 193.18, 266.35 and 165.15

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Solution

The fourth proportional to 193.18, 266.35 and 165.15 is: 227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.18 : 266.35 = 165.15 : x
  2. Step 2: Convert to fraction form
    193.18/266.35 = 165.15/x
  3. Step 3: Cross multiply
    193.18x = 266.35 × 165.15
  4. Step 4: Simplify right side
    193.18x = 43,987.70
  5. Step 5: Solve for x
    x = 43,987.70/193.18
  6. Step 6: Final answer
    x = 227.70

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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.