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Finding the Fourth Proportional to 540.41, 810.51 and 150.42

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Solution

The fourth proportional to 540.41, 810.51 and 150.42 is: 225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.41 : 810.51 = 150.42 : x
  2. Step 2: Convert to fraction form
    540.41/810.51 = 150.42/x
  3. Step 3: Cross multiply
    540.41x = 810.51 × 150.42
  4. Step 4: Simplify right side
    540.41x = 121,919.39
  5. Step 5: Solve for x
    x = 121,919.39/540.41
  6. Step 6: Final answer
    x = 225.61

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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.