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Finding the Fourth Proportional to 193.20, 266.84 and 128.00

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Solution

The fourth proportional to 193.20, 266.84 and 128.00 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 266.84 = 128.00 : x
  2. Step 2: Convert to fraction form
    193.20/266.84 = 128.00/x
  3. Step 3: Cross multiply
    193.20x = 266.84 × 128.00
  4. Step 4: Simplify right side
    193.20x = 34,153.55
  5. Step 5: Solve for x
    x = 34,153.55/193.20
  6. Step 6: Final answer
    x = 176.78

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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.