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Finding the Fourth Proportional to 275.07, 412.71 and 130.80

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Solution

The fourth proportional to 275.07, 412.71 and 130.80 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.07 : 412.71 = 130.80 : x
  2. Step 2: Convert to fraction form
    275.07/412.71 = 130.80/x
  3. Step 3: Cross multiply
    275.07x = 412.71 × 130.80
  4. Step 4: Simplify right side
    275.07x = 53,982.47
  5. Step 5: Solve for x
    x = 53,982.47/275.07
  6. Step 6: Final answer
    x = 196.25

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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.