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Finding the Fourth Proportional to 214.42, 295.92 and 140.94

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Solution

The fourth proportional to 214.42, 295.92 and 140.94 is: 194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 295.92 = 140.94 : x
  2. Step 2: Convert to fraction form
    214.42/295.92 = 140.94/x
  3. Step 3: Cross multiply
    214.42x = 295.92 × 140.94
  4. Step 4: Simplify right side
    214.42x = 41,706.96
  5. Step 5: Solve for x
    x = 41,706.96/214.42
  6. Step 6: Final answer
    x = 194.51

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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.