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Finding the Fourth Proportional to 288.34, 397.92 and 164.02

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Solution

The fourth proportional to 288.34, 397.92 and 164.02 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 397.92 = 164.02 : x
  2. Step 2: Convert to fraction form
    288.34/397.92 = 164.02/x
  3. Step 3: Cross multiply
    288.34x = 397.92 × 164.02
  4. Step 4: Simplify right side
    288.34x = 65,266.84
  5. Step 5: Solve for x
    x = 65,266.84/288.34
  6. Step 6: Final answer
    x = 226.35

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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.