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Finding the Fourth Proportional to 261.59, 360.79 and 163.31

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Solution

The fourth proportional to 261.59, 360.79 and 163.31 is: 225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 360.79 = 163.31 : x
  2. Step 2: Convert to fraction form
    261.59/360.79 = 163.31/x
  3. Step 3: Cross multiply
    261.59x = 360.79 × 163.31
  4. Step 4: Simplify right side
    261.59x = 58,918.40
  5. Step 5: Solve for x
    x = 58,918.40/261.59
  6. Step 6: Final answer
    x = 225.24

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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.