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Finding the Fourth Proportional to 179.84, 248.04 and 124.56

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Solution

The fourth proportional to 179.84, 248.04 and 124.56 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 248.04 = 124.56 : x
  2. Step 2: Convert to fraction form
    179.84/248.04 = 124.56/x
  3. Step 3: Cross multiply
    179.84x = 248.04 × 124.56
  4. Step 4: Simplify right side
    179.84x = 30,895.86
  5. Step 5: Solve for x
    x = 30,895.86/179.84
  6. Step 6: Final answer
    x = 171.80

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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.