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Finding the Fourth Proportional to 251.12, 375.94 and 142.58

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Solution

The fourth proportional to 251.12, 375.94 and 142.58 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.12 : 375.94 = 142.58 : x
  2. Step 2: Convert to fraction form
    251.12/375.94 = 142.58/x
  3. Step 3: Cross multiply
    251.12x = 375.94 × 142.58
  4. Step 4: Simplify right side
    251.12x = 53,601.53
  5. Step 5: Solve for x
    x = 53,601.53/251.12
  6. Step 6: Final answer
    x = 213.45

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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.