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Finding the Fourth Proportional to 229.62, 342.81 and 189.12

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Solution

The fourth proportional to 229.62, 342.81 and 189.12 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 342.81 = 189.12 : x
  2. Step 2: Convert to fraction form
    229.62/342.81 = 189.12/x
  3. Step 3: Cross multiply
    229.62x = 342.81 × 189.12
  4. Step 4: Simplify right side
    229.62x = 64,832.23
  5. Step 5: Solve for x
    x = 64,832.23/229.62
  6. Step 6: Final answer
    x = 282.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.