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Finding the Fourth Proportional to 243.43, 365.20 and 70.10

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Solution

The fourth proportional to 243.43, 365.20 and 70.10 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.43 : 365.20 = 70.10 : x
  2. Step 2: Convert to fraction form
    243.43/365.20 = 70.10/x
  3. Step 3: Cross multiply
    243.43x = 365.20 × 70.10
  4. Step 4: Simplify right side
    243.43x = 25,600.52
  5. Step 5: Solve for x
    x = 25,600.52/243.43
  6. Step 6: Final answer
    x = 105.17

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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.