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Finding the Fourth Proportional to 215.57, 297.49 and 127.06

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Solution

The fourth proportional to 215.57, 297.49 and 127.06 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.57 : 297.49 = 127.06 : x
  2. Step 2: Convert to fraction form
    215.57/297.49 = 127.06/x
  3. Step 3: Cross multiply
    215.57x = 297.49 × 127.06
  4. Step 4: Simplify right side
    215.57x = 37,797.59
  5. Step 5: Solve for x
    x = 37,797.59/215.57
  6. Step 6: Final answer
    x = 175.34

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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.