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Finding the Fourth Proportional to 288.00, 397.46 and 163.66

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Solution

The fourth proportional to 288.00, 397.46 and 163.66 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.00 : 397.46 = 163.66 : x
  2. Step 2: Convert to fraction form
    288.00/397.46 = 163.66/x
  3. Step 3: Cross multiply
    288.00x = 397.46 × 163.66
  4. Step 4: Simplify right side
    288.00x = 65,047.89
  5. Step 5: Solve for x
    x = 65,047.89/288.00
  6. Step 6: Final answer
    x = 225.86

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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.