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Finding the Fourth Proportional to 275.08, 412.60 and 130.76

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Solution

The fourth proportional to 275.08, 412.60 and 130.76 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 412.60 = 130.76 : x
  2. Step 2: Convert to fraction form
    275.08/412.60 = 130.76/x
  3. Step 3: Cross multiply
    275.08x = 412.60 × 130.76
  4. Step 4: Simplify right side
    275.08x = 53,951.58
  5. Step 5: Solve for x
    x = 53,951.58/275.08
  6. Step 6: Final answer
    x = 196.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.