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Finding the Fourth Proportional to 299.42, 412.71 and 201.14

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Solution

The fourth proportional to 299.42, 412.71 and 201.14 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 412.71 = 201.14 : x
  2. Step 2: Convert to fraction form
    299.42/412.71 = 201.14/x
  3. Step 3: Cross multiply
    299.42x = 412.71 × 201.14
  4. Step 4: Simplify right side
    299.42x = 83,012.49
  5. Step 5: Solve for x
    x = 83,012.49/299.42
  6. Step 6: Final answer
    x = 277.24

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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.