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Finding the Fourth Proportional to 275.12, 412.38 and 130.64

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Solution

The fourth proportional to 275.12, 412.38 and 130.64 is: 195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 412.38 = 130.64 : x
  2. Step 2: Convert to fraction form
    275.12/412.38 = 130.64/x
  3. Step 3: Cross multiply
    275.12x = 412.38 × 130.64
  4. Step 4: Simplify right side
    275.12x = 53,873.32
  5. Step 5: Solve for x
    x = 53,873.32/275.12
  6. Step 6: Final answer
    x = 195.82

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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.