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Finding the Fourth Proportional to 261.20, 391.40 and 164.81

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Solution

The fourth proportional to 261.20, 391.40 and 164.81 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.20 : 391.40 = 164.81 : x
  2. Step 2: Convert to fraction form
    261.20/391.40 = 164.81/x
  3. Step 3: Cross multiply
    261.20x = 391.40 × 164.81
  4. Step 4: Simplify right side
    261.20x = 64,507.41
  5. Step 5: Solve for x
    x = 64,507.41/261.20
  6. Step 6: Final answer
    x = 246.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.