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Finding the Fourth Proportional to 251.44, 347.00 and 146.59

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Solution

The fourth proportional to 251.44, 347.00 and 146.59 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.44 : 347.00 = 146.59 : x
  2. Step 2: Convert to fraction form
    251.44/347.00 = 146.59/x
  3. Step 3: Cross multiply
    251.44x = 347.00 × 146.59
  4. Step 4: Simplify right side
    251.44x = 50,867.91
  5. Step 5: Solve for x
    x = 50,867.91/251.44
  6. Step 6: Final answer
    x = 202.31

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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.