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Finding the Fourth Proportional to 251.83, 347.21 and 214.93

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Solution

The fourth proportional to 251.83, 347.21 and 214.93 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.83 : 347.21 = 214.93 : x
  2. Step 2: Convert to fraction form
    251.83/347.21 = 214.93/x
  3. Step 3: Cross multiply
    251.83x = 347.21 × 214.93
  4. Step 4: Simplify right side
    251.83x = 74,625.85
  5. Step 5: Solve for x
    x = 74,625.85/251.83
  6. Step 6: Final answer
    x = 296.33

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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.