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Finding the Fourth Proportional to 274.16, 410.80 and 129.52

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Solution

The fourth proportional to 274.16, 410.80 and 129.52 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 410.80 = 129.52 : x
  2. Step 2: Convert to fraction form
    274.16/410.80 = 129.52/x
  3. Step 3: Cross multiply
    274.16x = 410.80 × 129.52
  4. Step 4: Simplify right side
    274.16x = 53,206.82
  5. Step 5: Solve for x
    x = 53,206.82/274.16
  6. Step 6: Final answer
    x = 194.07

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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.