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Finding the Fourth Proportional to 261.30, 360.70 and 161.76

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Solution

The fourth proportional to 261.30, 360.70 and 161.76 is: 223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.70 = 161.76 : x
  2. Step 2: Convert to fraction form
    261.30/360.70 = 161.76/x
  3. Step 3: Cross multiply
    261.30x = 360.70 × 161.76
  4. Step 4: Simplify right side
    261.30x = 58,346.83
  5. Step 5: Solve for x
    x = 58,346.83/261.30
  6. Step 6: Final answer
    x = 223.29

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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.