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Finding the Fourth Proportional to 348.66, 523.17 and 186.33

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Solution

The fourth proportional to 348.66, 523.17 and 186.33 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.66 : 523.17 = 186.33 : x
  2. Step 2: Convert to fraction form
    348.66/523.17 = 186.33/x
  3. Step 3: Cross multiply
    348.66x = 523.17 × 186.33
  4. Step 4: Simplify right side
    348.66x = 97,482.27
  5. Step 5: Solve for x
    x = 97,482.27/348.66
  6. Step 6: Final answer
    x = 279.59

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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.