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Finding the Fourth Proportional to 179.84, 248.20 and 101.16

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Solution

The fourth proportional to 179.84, 248.20 and 101.16 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 248.20 = 101.16 : x
  2. Step 2: Convert to fraction form
    179.84/248.20 = 101.16/x
  3. Step 3: Cross multiply
    179.84x = 248.20 × 101.16
  4. Step 4: Simplify right side
    179.84x = 25,107.66
  5. Step 5: Solve for x
    x = 25,107.66/179.84
  6. Step 6: Final answer
    x = 139.61

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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.