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Finding the Fourth Proportional to 348.24, 522.34 and 104.78

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Solution

The fourth proportional to 348.24, 522.34 and 104.78 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 522.34 = 104.78 : x
  2. Step 2: Convert to fraction form
    348.24/522.34 = 104.78/x
  3. Step 3: Cross multiply
    348.24x = 522.34 × 104.78
  4. Step 4: Simplify right side
    348.24x = 54,730.79
  5. Step 5: Solve for x
    x = 54,730.79/348.24
  6. Step 6: Final answer
    x = 157.16

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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.