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Finding the Fourth Proportional to 251.16, 376.74 and 142.80

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Solution

The fourth proportional to 251.16, 376.74 and 142.80 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.16 : 376.74 = 142.80 : x
  2. Step 2: Convert to fraction form
    251.16/376.74 = 142.80/x
  3. Step 3: Cross multiply
    251.16x = 376.74 × 142.80
  4. Step 4: Simplify right side
    251.16x = 53,798.47
  5. Step 5: Solve for x
    x = 53,798.47/251.16
  6. Step 6: Final answer
    x = 214.20

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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.