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Finding the Fourth Proportional to 261.42, 360.81 and 161.87

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Solution

The fourth proportional to 261.42, 360.81 and 161.87 is: 223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 360.81 = 161.87 : x
  2. Step 2: Convert to fraction form
    261.42/360.81 = 161.87/x
  3. Step 3: Cross multiply
    261.42x = 360.81 × 161.87
  4. Step 4: Simplify right side
    261.42x = 58,402.51
  5. Step 5: Solve for x
    x = 58,402.51/261.42
  6. Step 6: Final answer
    x = 223.40

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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.