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Finding the Fourth Proportional to 192.89, 266.16 and 114.21

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Solution

The fourth proportional to 192.89, 266.16 and 114.21 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.89 : 266.16 = 114.21 : x
  2. Step 2: Convert to fraction form
    192.89/266.16 = 114.21/x
  3. Step 3: Cross multiply
    192.89x = 266.16 × 114.21
  4. Step 4: Simplify right side
    192.89x = 30,398.13
  5. Step 5: Solve for x
    x = 30,398.13/192.89
  6. Step 6: Final answer
    x = 157.60

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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.