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Finding the Fourth Proportional to 230, 316.01 and 188.44

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Solution

The fourth proportional to 230, 316.01 and 188.44 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 316.01 = 188.44 : x
  2. Step 2: Convert to fraction form
    230/316.01 = 188.44/x
  3. Step 3: Cross multiply
    230x = 316.01 × 188.44
  4. Step 4: Simplify right side
    230x = 59,548.92
  5. Step 5: Solve for x
    x = 59,548.92/230
  6. Step 6: Final answer
    x = 258.91

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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.