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Finding the Fourth Proportional to 214.83, 296.23 and 168.12

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Solution

The fourth proportional to 214.83, 296.23 and 168.12 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 296.23 = 168.12 : x
  2. Step 2: Convert to fraction form
    214.83/296.23 = 168.12/x
  3. Step 3: Cross multiply
    214.83x = 296.23 × 168.12
  4. Step 4: Simplify right side
    214.83x = 49,802.19
  5. Step 5: Solve for x
    x = 49,802.19/214.83
  6. Step 6: Final answer
    x = 231.82

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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.