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Finding the Fourth Proportional to 261.06, 360.32 and 161.50

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Solution

The fourth proportional to 261.06, 360.32 and 161.50 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 360.32 = 161.50 : x
  2. Step 2: Convert to fraction form
    261.06/360.32 = 161.50/x
  3. Step 3: Cross multiply
    261.06x = 360.32 × 161.50
  4. Step 4: Simplify right side
    261.06x = 58,191.68
  5. Step 5: Solve for x
    x = 58,191.68/261.06
  6. Step 6: Final answer
    x = 222.91

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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.