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Finding the Fourth Proportional to 269.40, 371.80 and 164.50

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Solution

The fourth proportional to 269.40, 371.80 and 164.50 is: 227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 371.80 = 164.50 : x
  2. Step 2: Convert to fraction form
    269.40/371.80 = 164.50/x
  3. Step 3: Cross multiply
    269.40x = 371.80 × 164.50
  4. Step 4: Simplify right side
    269.40x = 61,161.10
  5. Step 5: Solve for x
    x = 61,161.10/269.40
  6. Step 6: Final answer
    x = 227.03

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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.