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Finding the Fourth Proportional to 269.27, 371.60 and 152.81

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Solution

The fourth proportional to 269.27, 371.60 and 152.81 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 371.60 = 152.81 : x
  2. Step 2: Convert to fraction form
    269.27/371.60 = 152.81/x
  3. Step 3: Cross multiply
    269.27x = 371.60 × 152.81
  4. Step 4: Simplify right side
    269.27x = 56,784.93
  5. Step 5: Solve for x
    x = 56,784.93/269.27
  6. Step 6: Final answer
    x = 210.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.