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Finding the Fourth Proportional to 274.97, 412.25 and 101.55

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Solution

The fourth proportional to 274.97, 412.25 and 101.55 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.97 : 412.25 = 101.55 : x
  2. Step 2: Convert to fraction form
    274.97/412.25 = 101.55/x
  3. Step 3: Cross multiply
    274.97x = 412.25 × 101.55
  4. Step 4: Simplify right side
    274.97x = 41,864.24
  5. Step 5: Solve for x
    x = 41,864.24/274.97
  6. Step 6: Final answer
    x = 152.25

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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.