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Finding the Fourth Proportional to 251.41, 346.87 and 146.47

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Solution

The fourth proportional to 251.41, 346.87 and 146.47 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 346.87 = 146.47 : x
  2. Step 2: Convert to fraction form
    251.41/346.87 = 146.47/x
  3. Step 3: Cross multiply
    251.41x = 346.87 × 146.47
  4. Step 4: Simplify right side
    251.41x = 50,806.05
  5. Step 5: Solve for x
    x = 50,806.05/251.41
  6. Step 6: Final answer
    x = 202.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.