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Finding the Fourth Proportional to 180.20, 270.61 and 97.89

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Solution

The fourth proportional to 180.20, 270.61 and 97.89 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 270.61 = 97.89 : x
  2. Step 2: Convert to fraction form
    180.20/270.61 = 97.89/x
  3. Step 3: Cross multiply
    180.20x = 270.61 × 97.89
  4. Step 4: Simplify right side
    180.20x = 26,490.01
  5. Step 5: Solve for x
    x = 26,490.01/180.20
  6. Step 6: Final answer
    x = 147.00

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Why These Related Problems?

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