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Finding the Fourth Proportional to 214.27, 295.70 and 116.03

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Solution

The fourth proportional to 214.27, 295.70 and 116.03 is: 160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.27 : 295.70 = 116.03 : x
  2. Step 2: Convert to fraction form
    214.27/295.70 = 116.03/x
  3. Step 3: Cross multiply
    214.27x = 295.70 × 116.03
  4. Step 4: Simplify right side
    214.27x = 34,309.93
  5. Step 5: Solve for x
    x = 34,309.93/214.27
  6. Step 6: Final answer
    x = 160.12

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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.