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Finding the Fourth Proportional to 229.57, 345.91 and 189.88

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Solution

The fourth proportional to 229.57, 345.91 and 189.88 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 345.91 = 189.88 : x
  2. Step 2: Convert to fraction form
    229.57/345.91 = 189.88/x
  3. Step 3: Cross multiply
    229.57x = 345.91 × 189.88
  4. Step 4: Simplify right side
    229.57x = 65,681.39
  5. Step 5: Solve for x
    x = 65,681.39/229.57
  6. Step 6: Final answer
    x = 286.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.