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Finding the Fourth Proportional to 261.00, 360.25 and 161.44

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Solution

The fourth proportional to 261.00, 360.25 and 161.44 is: 222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.00 : 360.25 = 161.44 : x
  2. Step 2: Convert to fraction form
    261.00/360.25 = 161.44/x
  3. Step 3: Cross multiply
    261.00x = 360.25 × 161.44
  4. Step 4: Simplify right side
    261.00x = 58,159.41
  5. Step 5: Solve for x
    x = 58,159.41/261.00
  6. Step 6: Final answer
    x = 222.84

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Why These Related Problems?

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