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Finding the Fourth Proportional to 251.04, 376.63 and 142.75

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Solution

The fourth proportional to 251.04, 376.63 and 142.75 is: 214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.04 : 376.63 = 142.75 : x
  2. Step 2: Convert to fraction form
    251.04/376.63 = 142.75/x
  3. Step 3: Cross multiply
    251.04x = 376.63 × 142.75
  4. Step 4: Simplify right side
    251.04x = 53,763.93
  5. Step 5: Solve for x
    x = 53,763.93/251.04
  6. Step 6: Final answer
    x = 214.16

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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.