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Finding the Fourth Proportional to 373, 559.26 and 141.85

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Solution

The fourth proportional to 373, 559.26 and 141.85 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373 : 559.26 = 141.85 : x
  2. Step 2: Convert to fraction form
    373/559.26 = 141.85/x
  3. Step 3: Cross multiply
    373x = 559.26 × 141.85
  4. Step 4: Simplify right side
    373x = 79,331.03
  5. Step 5: Solve for x
    x = 79,331.03/373
  6. Step 6: Final answer
    x = 212.68

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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.