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Finding the Fourth Proportional to 274.85, 412.31 and 101.49

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Solution

The fourth proportional to 274.85, 412.31 and 101.49 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.85 : 412.31 = 101.49 : x
  2. Step 2: Convert to fraction form
    274.85/412.31 = 101.49/x
  3. Step 3: Cross multiply
    274.85x = 412.31 × 101.49
  4. Step 4: Simplify right side
    274.85x = 41,845.34
  5. Step 5: Solve for x
    x = 41,845.34/274.85
  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.