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Finding the Fourth Proportional to 261.42, 360.66 and 168.20

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Solution

The fourth proportional to 261.42, 360.66 and 168.20 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 360.66 = 168.20 : x
  2. Step 2: Convert to fraction form
    261.42/360.66 = 168.20/x
  3. Step 3: Cross multiply
    261.42x = 360.66 × 168.20
  4. Step 4: Simplify right side
    261.42x = 60,663.01
  5. Step 5: Solve for x
    x = 60,663.01/261.42
  6. Step 6: Final answer
    x = 232.05

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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.