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Finding the Fourth Proportional to 229.48, 316.23 and 214.09

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Solution

The fourth proportional to 229.48, 316.23 and 214.09 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 316.23 = 214.09 : x
  2. Step 2: Convert to fraction form
    229.48/316.23 = 214.09/x
  3. Step 3: Cross multiply
    229.48x = 316.23 × 214.09
  4. Step 4: Simplify right side
    229.48x = 67,701.68
  5. Step 5: Solve for x
    x = 67,701.68/229.48
  6. Step 6: Final answer
    x = 295.02

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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.