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Finding the Fourth Proportional to 540.82, 811.02 and 194.10

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Solution

The fourth proportional to 540.82, 811.02 and 194.10 is: 291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 811.02 = 194.10 : x
  2. Step 2: Convert to fraction form
    540.82/811.02 = 194.10/x
  3. Step 3: Cross multiply
    540.82x = 811.02 × 194.10
  4. Step 4: Simplify right side
    540.82x = 157,418.98
  5. Step 5: Solve for x
    x = 157,418.98/540.82
  6. Step 6: Final answer
    x = 291.07

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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.