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Finding the Fourth Proportional to 153.53, 230.74 and 142.21

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Solution

The fourth proportional to 153.53, 230.74 and 142.21 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.53 : 230.74 = 142.21 : x
  2. Step 2: Convert to fraction form
    153.53/230.74 = 142.21/x
  3. Step 3: Cross multiply
    153.53x = 230.74 × 142.21
  4. Step 4: Simplify right side
    153.53x = 32,813.54
  5. Step 5: Solve for x
    x = 32,813.54/153.53
  6. Step 6: Final answer
    x = 213.73

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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.