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Finding the Fourth Proportional to 214.57, 296.11 and 116.33

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Solution

The fourth proportional to 214.57, 296.11 and 116.33 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.57 : 296.11 = 116.33 : x
  2. Step 2: Convert to fraction form
    214.57/296.11 = 116.33/x
  3. Step 3: Cross multiply
    214.57x = 296.11 × 116.33
  4. Step 4: Simplify right side
    214.57x = 34,445.48
  5. Step 5: Solve for x
    x = 34,445.48/214.57
  6. Step 6: Final answer
    x = 160.53

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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.