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Finding the Fourth Proportional to 215.29, 297.00 and 127.92

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Solution

The fourth proportional to 215.29, 297.00 and 127.92 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.29 : 297.00 = 127.92 : x
  2. Step 2: Convert to fraction form
    215.29/297.00 = 127.92/x
  3. Step 3: Cross multiply
    215.29x = 297.00 × 127.92
  4. Step 4: Simplify right side
    215.29x = 37,991.60
  5. Step 5: Solve for x
    x = 37,991.60/215.29
  6. Step 6: Final answer
    x = 176.47

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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.