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Finding the Fourth Proportional to 269.76, 372.23 and 164.80

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Solution

The fourth proportional to 269.76, 372.23 and 164.80 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.23 = 164.80 : x
  2. Step 2: Convert to fraction form
    269.76/372.23 = 164.80/x
  3. Step 3: Cross multiply
    269.76x = 372.23 × 164.80
  4. Step 4: Simplify right side
    269.76x = 61,343.50
  5. Step 5: Solve for x
    x = 61,343.50/269.76
  6. Step 6: Final answer
    x = 227.40

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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.