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Finding the Fourth Proportional to 367, 549.60 and 193.82

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Solution

The fourth proportional to 367, 549.60 and 193.82 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 549.60 = 193.82 : x
  2. Step 2: Convert to fraction form
    367/549.60 = 193.82/x
  3. Step 3: Cross multiply
    367x = 549.60 × 193.82
  4. Step 4: Simplify right side
    367x = 106,523.47
  5. Step 5: Solve for x
    x = 106,523.47/367
  6. Step 6: Final answer
    x = 290.25

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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.