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Finding the Fourth Proportional to 274.90, 411.99 and 130.48

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Solution

The fourth proportional to 274.90, 411.99 and 130.48 is: 195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.90 : 411.99 = 130.48 : x
  2. Step 2: Convert to fraction form
    274.90/411.99 = 130.48/x
  3. Step 3: Cross multiply
    274.90x = 411.99 × 130.48
  4. Step 4: Simplify right side
    274.90x = 53,756.46
  5. Step 5: Solve for x
    x = 53,756.46/274.90
  6. Step 6: Final answer
    x = 195.55

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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.