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Finding the Fourth Proportional to 288.62, 397.71 and 201.14

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Solution

The fourth proportional to 288.62, 397.71 and 201.14 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.62 : 397.71 = 201.14 : x
  2. Step 2: Convert to fraction form
    288.62/397.71 = 201.14/x
  3. Step 3: Cross multiply
    288.62x = 397.71 × 201.14
  4. Step 4: Simplify right side
    288.62x = 79,995.39
  5. Step 5: Solve for x
    x = 79,995.39/288.62
  6. Step 6: Final answer
    x = 277.17

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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.