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Finding the Fourth Proportional to 188.10, 282.14 and 106.77

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Solution

The fourth proportional to 188.10, 282.14 and 106.77 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 282.14 = 106.77 : x
  2. Step 2: Convert to fraction form
    188.10/282.14 = 106.77/x
  3. Step 3: Cross multiply
    188.10x = 282.14 × 106.77
  4. Step 4: Simplify right side
    188.10x = 30,124.09
  5. Step 5: Solve for x
    x = 30,124.09/188.10
  6. Step 6: Final answer
    x = 160.15

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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.