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Finding the Fourth Proportional to 165.97, 247.73 and 153.75

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Solution

The fourth proportional to 165.97, 247.73 and 153.75 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 247.73 = 153.75 : x
  2. Step 2: Convert to fraction form
    165.97/247.73 = 153.75/x
  3. Step 3: Cross multiply
    165.97x = 247.73 × 153.75
  4. Step 4: Simplify right side
    165.97x = 38,088.87
  5. Step 5: Solve for x
    x = 38,088.87/165.97
  6. Step 6: Final answer
    x = 229.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.