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Finding the Fourth Proportional to 349.17, 523.82 and 118.05

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Solution

The fourth proportional to 349.17, 523.82 and 118.05 is: 177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.17 : 523.82 = 118.05 : x
  2. Step 2: Convert to fraction form
    349.17/523.82 = 118.05/x
  3. Step 3: Cross multiply
    349.17x = 523.82 × 118.05
  4. Step 4: Simplify right side
    349.17x = 61,836.95
  5. Step 5: Solve for x
    x = 61,836.95/349.17
  6. Step 6: Final answer
    x = 177.10

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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.