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Finding the Fourth Proportional to 261.50, 392.21 and 107.44

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Solution

The fourth proportional to 261.50, 392.21 and 107.44 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 392.21 = 107.44 : x
  2. Step 2: Convert to fraction form
    261.50/392.21 = 107.44/x
  3. Step 3: Cross multiply
    261.50x = 392.21 × 107.44
  4. Step 4: Simplify right side
    261.50x = 42,137.08
  5. Step 5: Solve for x
    x = 42,137.08/261.50
  6. Step 6: Final answer
    x = 161.14

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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.