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Finding the Fourth Proportional to 215.50, 297.17 and 184.52

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Solution

The fourth proportional to 215.50, 297.17 and 184.52 is: 254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.50 : 297.17 = 184.52 : x
  2. Step 2: Convert to fraction form
    215.50/297.17 = 184.52/x
  3. Step 3: Cross multiply
    215.50x = 297.17 × 184.52
  4. Step 4: Simplify right side
    215.50x = 54,831.40
  5. Step 5: Solve for x
    x = 54,831.40/215.50
  6. Step 6: Final answer
    x = 254.44

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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.