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Finding the Fourth Proportional to 232.53, 348.84 and 70.23

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Solution

The fourth proportional to 232.53, 348.84 and 70.23 is: 105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 348.84 = 70.23 : x
  2. Step 2: Convert to fraction form
    232.53/348.84 = 70.23/x
  3. Step 3: Cross multiply
    232.53x = 348.84 × 70.23
  4. Step 4: Simplify right side
    232.53x = 24,499.03
  5. Step 5: Solve for x
    x = 24,499.03/232.53
  6. Step 6: Final answer
    x = 105.36

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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.