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Finding the Fourth Proportional to 274.91, 412.58 and 170.87

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Solution

The fourth proportional to 274.91, 412.58 and 170.87 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 412.58 = 170.87 : x
  2. Step 2: Convert to fraction form
    274.91/412.58 = 170.87/x
  3. Step 3: Cross multiply
    274.91x = 412.58 × 170.87
  4. Step 4: Simplify right side
    274.91x = 70,494.63
  5. Step 5: Solve for x
    x = 70,494.63/274.91
  6. Step 6: Final answer
    x = 256.43

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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.