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Finding the Fourth Proportional to 269.66, 372.06 and 156.06

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Solution

The fourth proportional to 269.66, 372.06 and 156.06 is: 215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.66 : 372.06 = 156.06 : x
  2. Step 2: Convert to fraction form
    269.66/372.06 = 156.06/x
  3. Step 3: Cross multiply
    269.66x = 372.06 × 156.06
  4. Step 4: Simplify right side
    269.66x = 58,063.68
  5. Step 5: Solve for x
    x = 58,063.68/269.66
  6. Step 6: Final answer
    x = 215.32

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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.