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Finding the Fourth Proportional to 275.28, 412.66 and 138.18

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Solution

The fourth proportional to 275.28, 412.66 and 138.18 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 412.66 = 138.18 : x
  2. Step 2: Convert to fraction form
    275.28/412.66 = 138.18/x
  3. Step 3: Cross multiply
    275.28x = 412.66 × 138.18
  4. Step 4: Simplify right side
    275.28x = 57,021.36
  5. Step 5: Solve for x
    x = 57,021.36/275.28
  6. Step 6: Final answer
    x = 207.14

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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.