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Finding the Fourth Proportional to 229.53, 342.60 and 200.82

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Solution

The fourth proportional to 229.53, 342.60 and 200.82 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 342.60 = 200.82 : x
  2. Step 2: Convert to fraction form
    229.53/342.60 = 200.82/x
  3. Step 3: Cross multiply
    229.53x = 342.60 × 200.82
  4. Step 4: Simplify right side
    229.53x = 68,800.93
  5. Step 5: Solve for x
    x = 68,800.93/229.53
  6. Step 6: Final answer
    x = 299.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.