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Finding the Fourth Proportional to 269.76, 372.27 and 153.33

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Solution

The fourth proportional to 269.76, 372.27 and 153.33 is: 211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.27 = 153.33 : x
  2. Step 2: Convert to fraction form
    269.76/372.27 = 153.33/x
  3. Step 3: Cross multiply
    269.76x = 372.27 × 153.33
  4. Step 4: Simplify right side
    269.76x = 57,080.16
  5. Step 5: Solve for x
    x = 57,080.16/269.76
  6. Step 6: Final answer
    x = 211.60

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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.