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Finding the Fourth Proportional to 541.05, 811.65 and 194.30

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Solution

The fourth proportional to 541.05, 811.65 and 194.30 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 811.65 = 194.30 : x
  2. Step 2: Convert to fraction form
    541.05/811.65 = 194.30/x
  3. Step 3: Cross multiply
    541.05x = 811.65 × 194.30
  4. Step 4: Simplify right side
    541.05x = 157,703.60
  5. Step 5: Solve for x
    x = 157,703.60/541.05
  6. Step 6: Final answer
    x = 291.48

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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.