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Finding the Fourth Proportional to 212.17, 293.37 and 184.83

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Solution

The fourth proportional to 212.17, 293.37 and 184.83 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.17 : 293.37 = 184.83 : x
  2. Step 2: Convert to fraction form
    212.17/293.37 = 184.83/x
  3. Step 3: Cross multiply
    212.17x = 293.37 × 184.83
  4. Step 4: Simplify right side
    212.17x = 54,224.47
  5. Step 5: Solve for x
    x = 54,224.47/212.17
  6. Step 6: Final answer
    x = 255.57

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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.