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Finding the Fourth Proportional to 214.56, 295.99 and 149.09

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Solution

The fourth proportional to 214.56, 295.99 and 149.09 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 295.99 = 149.09 : x
  2. Step 2: Convert to fraction form
    214.56/295.99 = 149.09/x
  3. Step 3: Cross multiply
    214.56x = 295.99 × 149.09
  4. Step 4: Simplify right side
    214.56x = 44,127.30
  5. Step 5: Solve for x
    x = 44,127.30/214.56
  6. Step 6: Final answer
    x = 205.66

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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.