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Finding the Fourth Proportional to 229.92, 317.76 and 201.12

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Solution

The fourth proportional to 229.92, 317.76 and 201.12 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 317.76 = 201.12 : x
  2. Step 2: Convert to fraction form
    229.92/317.76 = 201.12/x
  3. Step 3: Cross multiply
    229.92x = 317.76 × 201.12
  4. Step 4: Simplify right side
    229.92x = 63,907.89
  5. Step 5: Solve for x
    x = 63,907.89/229.92
  6. Step 6: Final answer
    x = 277.96

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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.