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Finding the Fourth Proportional to 214.27, 294.78 and 189.25

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Solution

The fourth proportional to 214.27, 294.78 and 189.25 is: 260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.27 : 294.78 = 189.25 : x
  2. Step 2: Convert to fraction form
    214.27/294.78 = 189.25/x
  3. Step 3: Cross multiply
    214.27x = 294.78 × 189.25
  4. Step 4: Simplify right side
    214.27x = 55,787.12
  5. Step 5: Solve for x
    x = 55,787.12/214.27
  6. Step 6: Final answer
    x = 260.36

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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.