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Finding the Fourth Proportional to 540.08, 810.04 and 198

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Solution

The fourth proportional to 540.08, 810.04 and 198 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.08 : 810.04 = 198 : x
  2. Step 2: Convert to fraction form
    540.08/810.04 = 198/x
  3. Step 3: Cross multiply
    540.08x = 810.04 × 198
  4. Step 4: Simplify right side
    540.08x = 160,387.92
  5. Step 5: Solve for x
    x = 160,387.92/540.08
  6. Step 6: Final answer
    x = 296.97

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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.