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Finding the Fourth Proportional to 188.28, 259.66 and 159.12

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Solution

The fourth proportional to 188.28, 259.66 and 159.12 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 259.66 = 159.12 : x
  2. Step 2: Convert to fraction form
    188.28/259.66 = 159.12/x
  3. Step 3: Cross multiply
    188.28x = 259.66 × 159.12
  4. Step 4: Simplify right side
    188.28x = 41,317.10
  5. Step 5: Solve for x
    x = 41,317.10/188.28
  6. Step 6: Final answer
    x = 219.44

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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.