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Finding the Fourth Proportional to 373.14, 559.83 and 180.78

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Solution

The fourth proportional to 373.14, 559.83 and 180.78 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 559.83 = 180.78 : x
  2. Step 2: Convert to fraction form
    373.14/559.83 = 180.78/x
  3. Step 3: Cross multiply
    373.14x = 559.83 × 180.78
  4. Step 4: Simplify right side
    373.14x = 101,206.07
  5. Step 5: Solve for x
    x = 101,206.07/373.14
  6. Step 6: Final answer
    x = 271.23

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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.