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Finding the Fourth Proportional to 185.84, 256.38 and 107.11

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Solution

The fourth proportional to 185.84, 256.38 and 107.11 is: 147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 256.38 = 107.11 : x
  2. Step 2: Convert to fraction form
    185.84/256.38 = 107.11/x
  3. Step 3: Cross multiply
    185.84x = 256.38 × 107.11
  4. Step 4: Simplify right side
    185.84x = 27,460.86
  5. Step 5: Solve for x
    x = 27,460.86/185.84
  6. Step 6: Final answer
    x = 147.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.