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Finding the Fourth Proportional to 214.93, 322.39 and 52.61

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Solution

The fourth proportional to 214.93, 322.39 and 52.61 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.93 : 322.39 = 52.61 : x
  2. Step 2: Convert to fraction form
    214.93/322.39 = 52.61/x
  3. Step 3: Cross multiply
    214.93x = 322.39 × 52.61
  4. Step 4: Simplify right side
    214.93x = 16,960.94
  5. Step 5: Solve for x
    x = 16,960.94/214.93
  6. Step 6: Final answer
    x = 78.91

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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.