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Finding the Fourth Proportional to 540.78, 811.34 and 194.11

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Solution

The fourth proportional to 540.78, 811.34 and 194.11 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 811.34 = 194.11 : x
  2. Step 2: Convert to fraction form
    540.78/811.34 = 194.11/x
  3. Step 3: Cross multiply
    540.78x = 811.34 × 194.11
  4. Step 4: Simplify right side
    540.78x = 157,485.15
  5. Step 5: Solve for x
    x = 157,485.15/540.78
  6. Step 6: Final answer
    x = 291.22

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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.