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Finding the Fourth Proportional to 274.61, 412.43 and 144.71

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Solution

The fourth proportional to 274.61, 412.43 and 144.71 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.61 : 412.43 = 144.71 : x
  2. Step 2: Convert to fraction form
    274.61/412.43 = 144.71/x
  3. Step 3: Cross multiply
    274.61x = 412.43 × 144.71
  4. Step 4: Simplify right side
    274.61x = 59,682.75
  5. Step 5: Solve for x
    x = 59,682.75/274.61
  6. Step 6: Final answer
    x = 217.34

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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.