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Finding the Fourth Proportional to 350.05, 524.77 and 133.78

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Solution

The fourth proportional to 350.05, 524.77 and 133.78 is: 200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.05 : 524.77 = 133.78 : x
  2. Step 2: Convert to fraction form
    350.05/524.77 = 133.78/x
  3. Step 3: Cross multiply
    350.05x = 524.77 × 133.78
  4. Step 4: Simplify right side
    350.05x = 70,204.55
  5. Step 5: Solve for x
    x = 70,204.55/350.05
  6. Step 6: Final answer
    x = 200.56

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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.