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Finding the Fourth Proportional to 188.27, 259.74 and 109.56

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Solution

The fourth proportional to 188.27, 259.74 and 109.56 is: 151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.27 : 259.74 = 109.56 : x
  2. Step 2: Convert to fraction form
    188.27/259.74 = 109.56/x
  3. Step 3: Cross multiply
    188.27x = 259.74 × 109.56
  4. Step 4: Simplify right side
    188.27x = 28,457.11
  5. Step 5: Solve for x
    x = 28,457.11/188.27
  6. Step 6: Final answer
    x = 151.15

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Why These Related Problems?

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