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Finding the Fourth Proportional to 153.82, 230.23 and 113.23

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Solution

The fourth proportional to 153.82, 230.23 and 113.23 is: 169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.23 = 113.23 : x
  2. Step 2: Convert to fraction form
    153.82/230.23 = 113.23/x
  3. Step 3: Cross multiply
    153.82x = 230.23 × 113.23
  4. Step 4: Simplify right side
    153.82x = 26,068.94
  5. Step 5: Solve for x
    x = 26,068.94/153.82
  6. Step 6: Final answer
    x = 169.48

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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.