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Finding the Fourth Proportional to 354.50, 531.77 and 94.50

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Solution

The fourth proportional to 354.50, 531.77 and 94.50 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.50 : 531.77 = 94.50 : x
  2. Step 2: Convert to fraction form
    354.50/531.77 = 94.50/x
  3. Step 3: Cross multiply
    354.50x = 531.77 × 94.50
  4. Step 4: Simplify right side
    354.50x = 50,249.61
  5. Step 5: Solve for x
    x = 50,249.61/354.50
  6. Step 6: Final answer
    x = 141.75

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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.