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Finding the Fourth Proportional to 366.58, 550.13 and 193.24

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Solution

The fourth proportional to 366.58, 550.13 and 193.24 is: 290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.58 : 550.13 = 193.24 : x
  2. Step 2: Convert to fraction form
    366.58/550.13 = 193.24/x
  3. Step 3: Cross multiply
    366.58x = 550.13 × 193.24
  4. Step 4: Simplify right side
    366.58x = 106,306.84
  5. Step 5: Solve for x
    x = 106,306.84/366.58
  6. Step 6: Final answer
    x = 290.00

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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.