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Finding the Fourth Proportional to 238.48, 357.74 and 142.90

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Solution

The fourth proportional to 238.48, 357.74 and 142.90 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.48 : 357.74 = 142.90 : x
  2. Step 2: Convert to fraction form
    238.48/357.74 = 142.90/x
  3. Step 3: Cross multiply
    238.48x = 357.74 × 142.90
  4. Step 4: Simplify right side
    238.48x = 51,121.05
  5. Step 5: Solve for x
    x = 51,121.05/238.48
  6. Step 6: Final answer
    x = 214.36

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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.