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Finding the Fourth Proportional to 251.08, 376.01 and 142.40

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Solution

The fourth proportional to 251.08, 376.01 and 142.40 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.08 : 376.01 = 142.40 : x
  2. Step 2: Convert to fraction form
    251.08/376.01 = 142.40/x
  3. Step 3: Cross multiply
    251.08x = 376.01 × 142.40
  4. Step 4: Simplify right side
    251.08x = 53,543.11
  5. Step 5: Solve for x
    x = 53,543.11/251.08
  6. Step 6: Final answer
    x = 213.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.