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Finding the Fourth Proportional to 214.19, 295.68 and 140.54

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Solution

The fourth proportional to 214.19, 295.68 and 140.54 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 295.68 = 140.54 : x
  2. Step 2: Convert to fraction form
    214.19/295.68 = 140.54/x
  3. Step 3: Cross multiply
    214.19x = 295.68 × 140.54
  4. Step 4: Simplify right side
    214.19x = 41,553.92
  5. Step 5: Solve for x
    x = 41,553.92/214.19
  6. Step 6: Final answer
    x = 194.00

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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.