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Finding the Fourth Proportional to 214.25, 295.61 and 125.73

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Solution

The fourth proportional to 214.25, 295.61 and 125.73 is: 173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 295.61 = 125.73 : x
  2. Step 2: Convert to fraction form
    214.25/295.61 = 125.73/x
  3. Step 3: Cross multiply
    214.25x = 295.61 × 125.73
  4. Step 4: Simplify right side
    214.25x = 37,166.42
  5. Step 5: Solve for x
    x = 37,166.42/214.25
  6. Step 6: Final answer
    x = 173.48

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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.