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Finding the Fourth Proportional to 366.42, 505.66 and 200.64

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Solution

The fourth proportional to 366.42, 505.66 and 200.64 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.42 : 505.66 = 200.64 : x
  2. Step 2: Convert to fraction form
    366.42/505.66 = 200.64/x
  3. Step 3: Cross multiply
    366.42x = 505.66 × 200.64
  4. Step 4: Simplify right side
    366.42x = 101,455.12
  5. Step 5: Solve for x
    x = 101,455.12/366.42
  6. Step 6: Final answer
    x = 276.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.