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Finding the Fourth Proportional to 275.45, 412.91 and 138.35

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Solution

The fourth proportional to 275.45, 412.91 and 138.35 is: 207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 412.91 = 138.35 : x
  2. Step 2: Convert to fraction form
    275.45/412.91 = 138.35/x
  3. Step 3: Cross multiply
    275.45x = 412.91 × 138.35
  4. Step 4: Simplify right side
    275.45x = 57,124.38
  5. Step 5: Solve for x
    x = 57,124.38/275.45
  6. Step 6: Final answer
    x = 207.39

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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.