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Finding the Fourth Proportional to 540.10, 810.24 and 193.46

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Solution

The fourth proportional to 540.10, 810.24 and 193.46 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.10 : 810.24 = 193.46 : x
  2. Step 2: Convert to fraction form
    540.10/810.24 = 193.46/x
  3. Step 3: Cross multiply
    540.10x = 810.24 × 193.46
  4. Step 4: Simplify right side
    540.10x = 156,749.03
  5. Step 5: Solve for x
    x = 156,749.03/540.10
  6. Step 6: Final answer
    x = 290.22

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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.