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Finding the Fourth Proportional to 541.17, 811.88 and 194.54

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Solution

The fourth proportional to 541.17, 811.88 and 194.54 is: 291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 811.88 = 194.54 : x
  2. Step 2: Convert to fraction form
    541.17/811.88 = 194.54/x
  3. Step 3: Cross multiply
    541.17x = 811.88 × 194.54
  4. Step 4: Simplify right side
    541.17x = 157,943.14
  5. Step 5: Solve for x
    x = 157,943.14/541.17
  6. Step 6: Final answer
    x = 291.85

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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.