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Finding the Fourth Proportional to 349.08, 523.79 and 154.06

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Solution

The fourth proportional to 349.08, 523.79 and 154.06 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.08 : 523.79 = 154.06 : x
  2. Step 2: Convert to fraction form
    349.08/523.79 = 154.06/x
  3. Step 3: Cross multiply
    349.08x = 523.79 × 154.06
  4. Step 4: Simplify right side
    349.08x = 80,695.47
  5. Step 5: Solve for x
    x = 80,695.47/349.08
  6. Step 6: Final answer
    x = 231.16

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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.