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Finding the Fourth Proportional to 193.28, 266.36 and 159.98

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Solution

The fourth proportional to 193.28, 266.36 and 159.98 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.28 : 266.36 = 159.98 : x
  2. Step 2: Convert to fraction form
    193.28/266.36 = 159.98/x
  3. Step 3: Cross multiply
    193.28x = 266.36 × 159.98
  4. Step 4: Simplify right side
    193.28x = 42,610.14
  5. Step 5: Solve for x
    x = 42,610.14/193.28
  6. Step 6: Final answer
    x = 220.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.