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Finding the Fourth Proportional to 229.89, 318.06 and 200.83

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Solution

The fourth proportional to 229.89, 318.06 and 200.83 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.89 : 318.06 = 200.83 : x
  2. Step 2: Convert to fraction form
    229.89/318.06 = 200.83/x
  3. Step 3: Cross multiply
    229.89x = 318.06 × 200.83
  4. Step 4: Simplify right side
    229.89x = 63,875.99
  5. Step 5: Solve for x
    x = 63,875.99/229.89
  6. Step 6: Final answer
    x = 277.85

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