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Finding the Fourth Proportional to 541.10, 811.58 and 194.42

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Solution

The fourth proportional to 541.10, 811.58 and 194.42 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.10 : 811.58 = 194.42 : x
  2. Step 2: Convert to fraction form
    541.10/811.58 = 194.42/x
  3. Step 3: Cross multiply
    541.10x = 811.58 × 194.42
  4. Step 4: Simplify right side
    541.10x = 157,787.38
  5. Step 5: Solve for x
    x = 157,787.38/541.10
  6. Step 6: Final answer
    x = 291.60

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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.