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Finding the Fourth Proportional to 251.08, 376.40 and 96.96

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Solution

The fourth proportional to 251.08, 376.40 and 96.96 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.08 : 376.40 = 96.96 : x
  2. Step 2: Convert to fraction form
    251.08/376.40 = 96.96/x
  3. Step 3: Cross multiply
    251.08x = 376.40 × 96.96
  4. Step 4: Simplify right side
    251.08x = 36,495.74
  5. Step 5: Solve for x
    x = 36,495.74/251.08
  6. Step 6: Final answer
    x = 145.36

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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.