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Finding the Fourth Proportional to 261.46, 391.91 and 164.03

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Solution

The fourth proportional to 261.46, 391.91 and 164.03 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 391.91 = 164.03 : x
  2. Step 2: Convert to fraction form
    261.46/391.91 = 164.03/x
  3. Step 3: Cross multiply
    261.46x = 391.91 × 164.03
  4. Step 4: Simplify right side
    261.46x = 64,284.18
  5. Step 5: Solve for x
    x = 64,284.18/261.46
  6. Step 6: Final answer
    x = 245.87

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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.