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Finding the Fourth Proportional to 243.56, 365.34 and 97.40

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Solution

The fourth proportional to 243.56, 365.34 and 97.40 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.56 : 365.34 = 97.40 : x
  2. Step 2: Convert to fraction form
    243.56/365.34 = 97.40/x
  3. Step 3: Cross multiply
    243.56x = 365.34 × 97.40
  4. Step 4: Simplify right side
    243.56x = 35,584.12
  5. Step 5: Solve for x
    x = 35,584.12/243.56
  6. Step 6: Final answer
    x = 146.10

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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.