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Finding the Fourth Proportional to 261.45, 360.71 and 161.76

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Solution

The fourth proportional to 261.45, 360.71 and 161.76 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 360.71 = 161.76 : x
  2. Step 2: Convert to fraction form
    261.45/360.71 = 161.76/x
  3. Step 3: Cross multiply
    261.45x = 360.71 × 161.76
  4. Step 4: Simplify right side
    261.45x = 58,348.45
  5. Step 5: Solve for x
    x = 58,348.45/261.45
  6. Step 6: Final answer
    x = 223.17

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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.