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Finding the Fourth Proportional to 214.05, 295.15 and 186.17

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Solution

The fourth proportional to 214.05, 295.15 and 186.17 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 295.15 = 186.17 : x
  2. Step 2: Convert to fraction form
    214.05/295.15 = 186.17/x
  3. Step 3: Cross multiply
    214.05x = 295.15 × 186.17
  4. Step 4: Simplify right side
    214.05x = 54,948.08
  5. Step 5: Solve for x
    x = 54,948.08/214.05
  6. Step 6: Final answer
    x = 256.71

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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.