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Finding the Fourth Proportional to 193.55, 266.42 and 160.88

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Solution

The fourth proportional to 193.55, 266.42 and 160.88 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.55 : 266.42 = 160.88 : x
  2. Step 2: Convert to fraction form
    193.55/266.42 = 160.88/x
  3. Step 3: Cross multiply
    193.55x = 266.42 × 160.88
  4. Step 4: Simplify right side
    193.55x = 42,860.72
  5. Step 5: Solve for x
    x = 42,860.72/193.55
  6. Step 6: Final answer
    x = 221.45

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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.