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Finding the Fourth Proportional to 250.80, 375.66 and 142.44

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Solution

The fourth proportional to 250.80, 375.66 and 142.44 is: 213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 375.66 = 142.44 : x
  2. Step 2: Convert to fraction form
    250.80/375.66 = 142.44/x
  3. Step 3: Cross multiply
    250.80x = 375.66 × 142.44
  4. Step 4: Simplify right side
    250.80x = 53,509.01
  5. Step 5: Solve for x
    x = 53,509.01/250.80
  6. Step 6: Final answer
    x = 213.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.