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Finding the Fourth Proportional to 179.68, 248.34 and 150.52

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Solution

The fourth proportional to 179.68, 248.34 and 150.52 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.68 : 248.34 = 150.52 : x
  2. Step 2: Convert to fraction form
    179.68/248.34 = 150.52/x
  3. Step 3: Cross multiply
    179.68x = 248.34 × 150.52
  4. Step 4: Simplify right side
    179.68x = 37,380.14
  5. Step 5: Solve for x
    x = 37,380.14/179.68
  6. Step 6: Final answer
    x = 208.04

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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.