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Finding the Fourth Proportional to 214.02, 295.31 and 140.45

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Solution

The fourth proportional to 214.02, 295.31 and 140.45 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 295.31 = 140.45 : x
  2. Step 2: Convert to fraction form
    214.02/295.31 = 140.45/x
  3. Step 3: Cross multiply
    214.02x = 295.31 × 140.45
  4. Step 4: Simplify right side
    214.02x = 41,475.16
  5. Step 5: Solve for x
    x = 41,475.16/214.02
  6. Step 6: Final answer
    x = 193.79

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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.