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Finding the Fourth Proportional to 214.05, 295.97 and 186.71

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Solution

The fourth proportional to 214.05, 295.97 and 186.71 is: 258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 295.97 = 186.71 : x
  2. Step 2: Convert to fraction form
    214.05/295.97 = 186.71/x
  3. Step 3: Cross multiply
    214.05x = 295.97 × 186.71
  4. Step 4: Simplify right side
    214.05x = 55,260.37
  5. Step 5: Solve for x
    x = 55,260.37/214.05
  6. Step 6: Final answer
    x = 258.17

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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.