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Finding the Fourth Proportional to 261.94, 391.28 and 223.24

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Solution

The fourth proportional to 261.94, 391.28 and 223.24 is: 333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.94 : 391.28 = 223.24 : x
  2. Step 2: Convert to fraction form
    261.94/391.28 = 223.24/x
  3. Step 3: Cross multiply
    261.94x = 391.28 × 223.24
  4. Step 4: Simplify right side
    261.94x = 87,349.35
  5. Step 5: Solve for x
    x = 87,349.35/261.94
  6. Step 6: Final answer
    x = 333.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.