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Finding the Fourth Proportional to 193.02, 266.35 and 110.12

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Solution

The fourth proportional to 193.02, 266.35 and 110.12 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 266.35 = 110.12 : x
  2. Step 2: Convert to fraction form
    193.02/266.35 = 110.12/x
  3. Step 3: Cross multiply
    193.02x = 266.35 × 110.12
  4. Step 4: Simplify right side
    193.02x = 29,330.85
  5. Step 5: Solve for x
    x = 29,330.85/193.02
  6. Step 6: Final answer
    x = 151.96

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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.