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Finding the Fourth Proportional to 193.19, 266.34 and 165.16

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Solution

The fourth proportional to 193.19, 266.34 and 165.16 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.19 : 266.34 = 165.16 : x
  2. Step 2: Convert to fraction form
    193.19/266.34 = 165.16/x
  3. Step 3: Cross multiply
    193.19x = 266.34 × 165.16
  4. Step 4: Simplify right side
    193.19x = 43,987.38
  5. Step 5: Solve for x
    x = 43,987.38/193.19
  6. Step 6: Final answer
    x = 227.69

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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.