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Finding the Fourth Proportional to 356.97, 535.37 and 137.52

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Solution

The fourth proportional to 356.97, 535.37 and 137.52 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.97 : 535.37 = 137.52 : x
  2. Step 2: Convert to fraction form
    356.97/535.37 = 137.52/x
  3. Step 3: Cross multiply
    356.97x = 535.37 × 137.52
  4. Step 4: Simplify right side
    356.97x = 73,623.39
  5. Step 5: Solve for x
    x = 73,623.39/356.97
  6. Step 6: Final answer
    x = 206.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.