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Finding the Fourth Proportional to 540.90, 811.56 and 194.22

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Solution

The fourth proportional to 540.90, 811.56 and 194.22 is: 291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 811.56 = 194.22 : x
  2. Step 2: Convert to fraction form
    540.90/811.56 = 194.22/x
  3. Step 3: Cross multiply
    540.90x = 811.56 × 194.22
  4. Step 4: Simplify right side
    540.90x = 157,621.18
  5. Step 5: Solve for x
    x = 157,621.18/540.90
  6. Step 6: Final answer
    x = 291.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.