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Finding the Fourth Proportional to 348.71, 523.67 and 186.50

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Solution

The fourth proportional to 348.71, 523.67 and 186.50 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.71 : 523.67 = 186.50 : x
  2. Step 2: Convert to fraction form
    348.71/523.67 = 186.50/x
  3. Step 3: Cross multiply
    348.71x = 523.67 × 186.50
  4. Step 4: Simplify right side
    348.71x = 97,664.83
  5. Step 5: Solve for x
    x = 97,664.83/348.71
  6. Step 6: Final answer
    x = 280.08

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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.