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Finding the Fourth Proportional to 152.87, 229.38 and 109.82

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Solution

The fourth proportional to 152.87, 229.38 and 109.82 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 229.38 = 109.82 : x
  2. Step 2: Convert to fraction form
    152.87/229.38 = 109.82/x
  3. Step 3: Cross multiply
    152.87x = 229.38 × 109.82
  4. Step 4: Simplify right side
    152.87x = 25,190.51
  5. Step 5: Solve for x
    x = 25,190.51/152.87
  6. Step 6: Final answer
    x = 164.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.