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Finding the Fourth Proportional to 275.29, 412.70 and 145.22

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Solution

The fourth proportional to 275.29, 412.70 and 145.22 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.29 : 412.70 = 145.22 : x
  2. Step 2: Convert to fraction form
    275.29/412.70 = 145.22/x
  3. Step 3: Cross multiply
    275.29x = 412.70 × 145.22
  4. Step 4: Simplify right side
    275.29x = 59,930.05
  5. Step 5: Solve for x
    x = 59,930.05/275.29
  6. Step 6: Final answer
    x = 217.70

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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.