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Finding the Fourth Proportional to 229.13, 314.33 and 222.19

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Solution

The fourth proportional to 229.13, 314.33 and 222.19 is: 304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 314.33 = 222.19 : x
  2. Step 2: Convert to fraction form
    229.13/314.33 = 222.19/x
  3. Step 3: Cross multiply
    229.13x = 314.33 × 222.19
  4. Step 4: Simplify right side
    229.13x = 69,842.10
  5. Step 5: Solve for x
    x = 69,842.10/229.13
  6. Step 6: Final answer
    x = 304.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.