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Finding the Fourth Proportional to 540.11, 810.21 and 193.64

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Solution

The fourth proportional to 540.11, 810.21 and 193.64 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.11 : 810.21 = 193.64 : x
  2. Step 2: Convert to fraction form
    540.11/810.21 = 193.64/x
  3. Step 3: Cross multiply
    540.11x = 810.21 × 193.64
  4. Step 4: Simplify right side
    540.11x = 156,885.01
  5. Step 5: Solve for x
    x = 156,885.01/540.11
  6. Step 6: Final answer
    x = 290.47

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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.