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Finding the Fourth Proportional to 229.02, 341.85 and 201.68

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Solution

The fourth proportional to 229.02, 341.85 and 201.68 is: 301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 341.85 = 201.68 : x
  2. Step 2: Convert to fraction form
    229.02/341.85 = 201.68/x
  3. Step 3: Cross multiply
    229.02x = 341.85 × 201.68
  4. Step 4: Simplify right side
    229.02x = 68,944.31
  5. Step 5: Solve for x
    x = 68,944.31/229.02
  6. Step 6: Final answer
    x = 301.04

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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.