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Finding the Fourth Proportional to 251.18, 346.60 and 140.63

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Solution

The fourth proportional to 251.18, 346.60 and 140.63 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.18 : 346.60 = 140.63 : x
  2. Step 2: Convert to fraction form
    251.18/346.60 = 140.63/x
  3. Step 3: Cross multiply
    251.18x = 346.60 × 140.63
  4. Step 4: Simplify right side
    251.18x = 48,743.40
  5. Step 5: Solve for x
    x = 48,743.40/251.18
  6. Step 6: Final answer
    x = 194.06

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