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Finding the Fourth Proportional to 229.47, 344.05 and 188.79

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Solution

The fourth proportional to 229.47, 344.05 and 188.79 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 344.05 = 188.79 : x
  2. Step 2: Convert to fraction form
    229.47/344.05 = 188.79/x
  3. Step 3: Cross multiply
    229.47x = 344.05 × 188.79
  4. Step 4: Simplify right side
    229.47x = 64,953.20
  5. Step 5: Solve for x
    x = 64,953.20/229.47
  6. Step 6: Final answer
    x = 283.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.