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Finding the Fourth Proportional to 214.26, 295.63 and 125.71

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Solution

The fourth proportional to 214.26, 295.63 and 125.71 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.26 : 295.63 = 125.71 : x
  2. Step 2: Convert to fraction form
    214.26/295.63 = 125.71/x
  3. Step 3: Cross multiply
    214.26x = 295.63 × 125.71
  4. Step 4: Simplify right side
    214.26x = 37,163.65
  5. Step 5: Solve for x
    x = 37,163.65/214.26
  6. Step 6: Final answer
    x = 173.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.