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Finding the Fourth Proportional to 540.66, 810.64 and 193.98

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Solution

The fourth proportional to 540.66, 810.64 and 193.98 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 810.64 = 193.98 : x
  2. Step 2: Convert to fraction form
    540.66/810.64 = 193.98/x
  3. Step 3: Cross multiply
    540.66x = 810.64 × 193.98
  4. Step 4: Simplify right side
    540.66x = 157,247.95
  5. Step 5: Solve for x
    x = 157,247.95/540.66
  6. Step 6: Final answer
    x = 290.84

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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.