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Finding the Fourth Proportional to 349.00, 523.25 and 177.88

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Solution

The fourth proportional to 349.00, 523.25 and 177.88 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.00 : 523.25 = 177.88 : x
  2. Step 2: Convert to fraction form
    349.00/523.25 = 177.88/x
  3. Step 3: Cross multiply
    349.00x = 523.25 × 177.88
  4. Step 4: Simplify right side
    349.00x = 93,073.09
  5. Step 5: Solve for x
    x = 93,073.09/349.00
  6. Step 6: Final answer
    x = 266.69

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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.