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Finding the Fourth Proportional to 268.97, 371.19 and 152.54

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Solution

The fourth proportional to 268.97, 371.19 and 152.54 is: 210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 371.19 = 152.54 : x
  2. Step 2: Convert to fraction form
    268.97/371.19 = 152.54/x
  3. Step 3: Cross multiply
    268.97x = 371.19 × 152.54
  4. Step 4: Simplify right side
    268.97x = 56,619.47
  5. Step 5: Solve for x
    x = 56,619.47/268.97
  6. Step 6: Final answer
    x = 210.51

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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.