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Finding the Fourth Proportional to 288.51, 397.31 and 201.03

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Solution

The fourth proportional to 288.51, 397.31 and 201.03 is: 276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 397.31 = 201.03 : x
  2. Step 2: Convert to fraction form
    288.51/397.31 = 201.03/x
  3. Step 3: Cross multiply
    288.51x = 397.31 × 201.03
  4. Step 4: Simplify right side
    288.51x = 79,870.22
  5. Step 5: Solve for x
    x = 79,870.22/288.51
  6. Step 6: Final answer
    x = 276.84

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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.