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Finding the Fourth Proportional to 348.17, 522.41 and 185.81

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Solution

The fourth proportional to 348.17, 522.41 and 185.81 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.17 : 522.41 = 185.81 : x
  2. Step 2: Convert to fraction form
    348.17/522.41 = 185.81/x
  3. Step 3: Cross multiply
    348.17x = 522.41 × 185.81
  4. Step 4: Simplify right side
    348.17x = 97,069.38
  5. Step 5: Solve for x
    x = 97,069.38/348.17
  6. Step 6: Final answer
    x = 278.80

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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.