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Finding the Fourth Proportional to 188.30, 282.12 and 107

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Solution

The fourth proportional to 188.30, 282.12 and 107 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.30 : 282.12 = 107 : x
  2. Step 2: Convert to fraction form
    188.30/282.12 = 107/x
  3. Step 3: Cross multiply
    188.30x = 282.12 × 107
  4. Step 4: Simplify right side
    188.30x = 30,186.84
  5. Step 5: Solve for x
    x = 30,186.84/188.30
  6. Step 6: Final answer
    x = 160.31

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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.