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Finding the Fourth Proportional to 214.85, 296.66 and 160.17

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Solution

The fourth proportional to 214.85, 296.66 and 160.17 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.85 : 296.66 = 160.17 : x
  2. Step 2: Convert to fraction form
    214.85/296.66 = 160.17/x
  3. Step 3: Cross multiply
    214.85x = 296.66 × 160.17
  4. Step 4: Simplify right side
    214.85x = 47,516.03
  5. Step 5: Solve for x
    x = 47,516.03/214.85
  6. Step 6: Final answer
    x = 221.16

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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.