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Finding the Fourth Proportional to 269.04, 371.26 and 152.59

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Solution

The fourth proportional to 269.04, 371.26 and 152.59 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 371.26 = 152.59 : x
  2. Step 2: Convert to fraction form
    269.04/371.26 = 152.59/x
  3. Step 3: Cross multiply
    269.04x = 371.26 × 152.59
  4. Step 4: Simplify right side
    269.04x = 56,650.56
  5. Step 5: Solve for x
    x = 56,650.56/269.04
  6. Step 6: Final answer
    x = 210.57

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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.