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Finding the Fourth Proportional to 270.06, 372.75 and 166.50

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Solution

The fourth proportional to 270.06, 372.75 and 166.50 is: 229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 372.75 = 166.50 : x
  2. Step 2: Convert to fraction form
    270.06/372.75 = 166.50/x
  3. Step 3: Cross multiply
    270.06x = 372.75 × 166.50
  4. Step 4: Simplify right side
    270.06x = 62,062.88
  5. Step 5: Solve for x
    x = 62,062.88/270.06
  6. Step 6: Final answer
    x = 229.81

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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.