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Finding the Fourth Proportional to 366.83, 550 and 204.64

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Solution

The fourth proportional to 366.83, 550 and 204.64 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.83 : 550 = 204.64 : x
  2. Step 2: Convert to fraction form
    366.83/550 = 204.64/x
  3. Step 3: Cross multiply
    366.83x = 550 × 204.64
  4. Step 4: Simplify right side
    366.83x = 112,552.00
  5. Step 5: Solve for x
    x = 112,552.00/366.83
  6. Step 6: Final answer
    x = 306.82

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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.