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Finding the Fourth Proportional to 261.68, 360.99 and 163.26

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Solution

The fourth proportional to 261.68, 360.99 and 163.26 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 360.99 = 163.26 : x
  2. Step 2: Convert to fraction form
    261.68/360.99 = 163.26/x
  3. Step 3: Cross multiply
    261.68x = 360.99 × 163.26
  4. Step 4: Simplify right side
    261.68x = 58,935.23
  5. Step 5: Solve for x
    x = 58,935.23/261.68
  6. Step 6: Final answer
    x = 225.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.