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Finding the Fourth Proportional to 214.63, 295.41 and 186.84

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Solution

The fourth proportional to 214.63, 295.41 and 186.84 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 295.41 = 186.84 : x
  2. Step 2: Convert to fraction form
    214.63/295.41 = 186.84/x
  3. Step 3: Cross multiply
    214.63x = 295.41 × 186.84
  4. Step 4: Simplify right side
    214.63x = 55,196.21
  5. Step 5: Solve for x
    x = 55,196.21/214.63
  6. Step 6: Final answer
    x = 257.17

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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.