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Finding the Fourth Proportional to 251.14, 376.63 and 96.97

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Solution

The fourth proportional to 251.14, 376.63 and 96.97 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.14 : 376.63 = 96.97 : x
  2. Step 2: Convert to fraction form
    251.14/376.63 = 96.97/x
  3. Step 3: Cross multiply
    251.14x = 376.63 × 96.97
  4. Step 4: Simplify right side
    251.14x = 36,521.81
  5. Step 5: Solve for x
    x = 36,521.81/251.14
  6. Step 6: Final answer
    x = 145.42

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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.