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Finding the Fourth Proportional to 261.45, 392.03 and 107.49

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Solution

The fourth proportional to 261.45, 392.03 and 107.49 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 392.03 = 107.49 : x
  2. Step 2: Convert to fraction form
    261.45/392.03 = 107.49/x
  3. Step 3: Cross multiply
    261.45x = 392.03 × 107.49
  4. Step 4: Simplify right side
    261.45x = 42,138.84
  5. Step 5: Solve for x
    x = 42,138.84/261.45
  6. Step 6: Final answer
    x = 161.17

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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.