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Finding the Fourth Proportional to 348.79, 523.05 and 105.23

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Solution

The fourth proportional to 348.79, 523.05 and 105.23 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.79 : 523.05 = 105.23 : x
  2. Step 2: Convert to fraction form
    348.79/523.05 = 105.23/x
  3. Step 3: Cross multiply
    348.79x = 523.05 × 105.23
  4. Step 4: Simplify right side
    348.79x = 55,040.55
  5. Step 5: Solve for x
    x = 55,040.55/348.79
  6. Step 6: Final answer
    x = 157.80

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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.