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Finding the Fourth Proportional to 348.66, 523.31 and 186.48

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Solution

The fourth proportional to 348.66, 523.31 and 186.48 is: 279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.66 : 523.31 = 186.48 : x
  2. Step 2: Convert to fraction form
    348.66/523.31 = 186.48/x
  3. Step 3: Cross multiply
    348.66x = 523.31 × 186.48
  4. Step 4: Simplify right side
    348.66x = 97,585.92
  5. Step 5: Solve for x
    x = 97,585.92/348.66
  6. Step 6: Final answer
    x = 279.89

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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.