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Finding the Fourth Proportional to 726.70, 1,090.02 and 178.88

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Solution

The fourth proportional to 726.70, 1,090.02 and 178.88 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.70 : 1,090.02 = 178.88 : x
  2. Step 2: Convert to fraction form
    726.70/1,090.02 = 178.88/x
  3. Step 3: Cross multiply
    726.70x = 1,090.02 × 178.88
  4. Step 4: Simplify right side
    726.70x = 194,982.78
  5. Step 5: Solve for x
    x = 194,982.78/726.70
  6. Step 6: Final answer
    x = 268.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.