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Finding the Fourth Proportional to 261.36, 360.59 and 163.17

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Solution

The fourth proportional to 261.36, 360.59 and 163.17 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 360.59 = 163.17 : x
  2. Step 2: Convert to fraction form
    261.36/360.59 = 163.17/x
  3. Step 3: Cross multiply
    261.36x = 360.59 × 163.17
  4. Step 4: Simplify right side
    261.36x = 58,836.65
  5. Step 5: Solve for x
    x = 58,836.65/261.36
  6. Step 6: Final answer
    x = 225.12

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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.