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Finding the Fourth Proportional to 348.29, 522.13 and 185.82

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Solution

The fourth proportional to 348.29, 522.13 and 185.82 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 522.13 = 185.82 : x
  2. Step 2: Convert to fraction form
    348.29/522.13 = 185.82/x
  3. Step 3: Cross multiply
    348.29x = 522.13 × 185.82
  4. Step 4: Simplify right side
    348.29x = 97,022.20
  5. Step 5: Solve for x
    x = 97,022.20/348.29
  6. Step 6: Final answer
    x = 278.57

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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.