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Finding the Fourth Proportional to 153.54, 230.81 and 142.26

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Solution

The fourth proportional to 153.54, 230.81 and 142.26 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 230.81 = 142.26 : x
  2. Step 2: Convert to fraction form
    153.54/230.81 = 142.26/x
  3. Step 3: Cross multiply
    153.54x = 230.81 × 142.26
  4. Step 4: Simplify right side
    153.54x = 32,834.32
  5. Step 5: Solve for x
    x = 32,834.32/153.54
  6. Step 6: Final answer
    x = 213.85

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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.