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Finding the Fourth Proportional to 193.16, 266.57 and 110.29

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Solution

The fourth proportional to 193.16, 266.57 and 110.29 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 266.57 = 110.29 : x
  2. Step 2: Convert to fraction form
    193.16/266.57 = 110.29/x
  3. Step 3: Cross multiply
    193.16x = 266.57 × 110.29
  4. Step 4: Simplify right side
    193.16x = 29,400.01
  5. Step 5: Solve for x
    x = 29,400.01/193.16
  6. Step 6: Final answer
    x = 152.21

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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.