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Finding the Fourth Proportional to 208.72, 288.42 and 165.40

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Solution

The fourth proportional to 208.72, 288.42 and 165.40 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 288.42 = 165.40 : x
  2. Step 2: Convert to fraction form
    208.72/288.42 = 165.40/x
  3. Step 3: Cross multiply
    208.72x = 288.42 × 165.40
  4. Step 4: Simplify right side
    208.72x = 47,704.67
  5. Step 5: Solve for x
    x = 47,704.67/208.72
  6. Step 6: Final answer
    x = 228.56

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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.