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Finding the Fourth Proportional to 229.86, 316.46 and 200.76

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Solution

The fourth proportional to 229.86, 316.46 and 200.76 is: 276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 316.46 = 200.76 : x
  2. Step 2: Convert to fraction form
    229.86/316.46 = 200.76/x
  3. Step 3: Cross multiply
    229.86x = 316.46 × 200.76
  4. Step 4: Simplify right side
    229.86x = 63,532.51
  5. Step 5: Solve for x
    x = 63,532.51/229.86
  6. Step 6: Final answer
    x = 276.40

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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.