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Finding the Fourth Proportional to 153.75, 230.39 and 142.36

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Solution

The fourth proportional to 153.75, 230.39 and 142.36 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 230.39 = 142.36 : x
  2. Step 2: Convert to fraction form
    153.75/230.39 = 142.36/x
  3. Step 3: Cross multiply
    153.75x = 230.39 × 142.36
  4. Step 4: Simplify right side
    153.75x = 32,798.37
  5. Step 5: Solve for x
    x = 32,798.37/153.75
  6. Step 6: Final answer
    x = 213.33

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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.