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Finding the Fourth Proportional to 250.34, 375.78 and 142.16

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Solution

The fourth proportional to 250.34, 375.78 and 142.16 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.34 : 375.78 = 142.16 : x
  2. Step 2: Convert to fraction form
    250.34/375.78 = 142.16/x
  3. Step 3: Cross multiply
    250.34x = 375.78 × 142.16
  4. Step 4: Simplify right side
    250.34x = 53,420.88
  5. Step 5: Solve for x
    x = 53,420.88/250.34
  6. Step 6: Final answer
    x = 213.39

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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.