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Finding the Fourth Proportional to 288.47, 398.06 and 164.14

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Solution

The fourth proportional to 288.47, 398.06 and 164.14 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 398.06 = 164.14 : x
  2. Step 2: Convert to fraction form
    288.47/398.06 = 164.14/x
  3. Step 3: Cross multiply
    288.47x = 398.06 × 164.14
  4. Step 4: Simplify right side
    288.47x = 65,337.57
  5. Step 5: Solve for x
    x = 65,337.57/288.47
  6. Step 6: Final answer
    x = 226.50

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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.