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Finding the Fourth Proportional to 188.06, 282 and 85.34

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Solution

The fourth proportional to 188.06, 282 and 85.34 is: 127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.06 : 282 = 85.34 : x
  2. Step 2: Convert to fraction form
    188.06/282 = 85.34/x
  3. Step 3: Cross multiply
    188.06x = 282 × 85.34
  4. Step 4: Simplify right side
    188.06x = 24,064.47
  5. Step 5: Solve for x
    x = 24,064.47/188.06
  6. Step 6: Final answer
    x = 127.97

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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.