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Finding the Fourth Proportional to 275.02, 412.23 and 159.37

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Solution

The fourth proportional to 275.02, 412.23 and 159.37 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 412.23 = 159.37 : x
  2. Step 2: Convert to fraction form
    275.02/412.23 = 159.37/x
  3. Step 3: Cross multiply
    275.02x = 412.23 × 159.37
  4. Step 4: Simplify right side
    275.02x = 65,697.10
  5. Step 5: Solve for x
    x = 65,697.10/275.02
  6. Step 6: Final answer
    x = 238.88

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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.