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Finding the Fourth Proportional to 270.37, 372.88 and 166.69

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Solution

The fourth proportional to 270.37, 372.88 and 166.69 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.37 : 372.88 = 166.69 : x
  2. Step 2: Convert to fraction form
    270.37/372.88 = 166.69/x
  3. Step 3: Cross multiply
    270.37x = 372.88 × 166.69
  4. Step 4: Simplify right side
    270.37x = 62,155.37
  5. Step 5: Solve for x
    x = 62,155.37/270.37
  6. Step 6: Final answer
    x = 229.89

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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.