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Finding the Fourth Proportional to 188.36, 259.36 and 159.20

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Solution

The fourth proportional to 188.36, 259.36 and 159.20 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 259.36 = 159.20 : x
  2. Step 2: Convert to fraction form
    188.36/259.36 = 159.20/x
  3. Step 3: Cross multiply
    188.36x = 259.36 × 159.20
  4. Step 4: Simplify right side
    188.36x = 41,290.11
  5. Step 5: Solve for x
    x = 41,290.11/188.36
  6. Step 6: Final answer
    x = 219.21

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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.