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Finding the Fourth Proportional to 288.32, 397.68 and 201.02

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Solution

The fourth proportional to 288.32, 397.68 and 201.02 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 397.68 = 201.02 : x
  2. Step 2: Convert to fraction form
    288.32/397.68 = 201.02/x
  3. Step 3: Cross multiply
    288.32x = 397.68 × 201.02
  4. Step 4: Simplify right side
    288.32x = 79,941.63
  5. Step 5: Solve for x
    x = 79,941.63/288.32
  6. Step 6: Final answer
    x = 277.27

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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.