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Finding the Fourth Proportional to 193.24, 266.34 and 165.40

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Solution

The fourth proportional to 193.24, 266.34 and 165.40 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 266.34 = 165.40 : x
  2. Step 2: Convert to fraction form
    193.24/266.34 = 165.40/x
  3. Step 3: Cross multiply
    193.24x = 266.34 × 165.40
  4. Step 4: Simplify right side
    193.24x = 44,052.64
  5. Step 5: Solve for x
    x = 44,052.64/193.24
  6. Step 6: Final answer
    x = 227.97

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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.