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Finding the Fourth Proportional to 188.18, 259.59 and 141.47

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Solution

The fourth proportional to 188.18, 259.59 and 141.47 is: 195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.18 : 259.59 = 141.47 : x
  2. Step 2: Convert to fraction form
    188.18/259.59 = 141.47/x
  3. Step 3: Cross multiply
    188.18x = 259.59 × 141.47
  4. Step 4: Simplify right side
    188.18x = 36,724.43
  5. Step 5: Solve for x
    x = 36,724.43/188.18
  6. Step 6: Final answer
    x = 195.16

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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.