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Finding the Fourth Proportional to 188.68, 260.68 and 149.63

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Solution

The fourth proportional to 188.68, 260.68 and 149.63 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.68 : 260.68 = 149.63 : x
  2. Step 2: Convert to fraction form
    188.68/260.68 = 149.63/x
  3. Step 3: Cross multiply
    188.68x = 260.68 × 149.63
  4. Step 4: Simplify right side
    188.68x = 39,005.55
  5. Step 5: Solve for x
    x = 39,005.55/188.68
  6. Step 6: Final answer
    x = 206.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.