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Finding the Fourth Proportional to 188.67, 282.79 and 142.87

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Solution

The fourth proportional to 188.67, 282.79 and 142.87 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 282.79 = 142.87 : x
  2. Step 2: Convert to fraction form
    188.67/282.79 = 142.87/x
  3. Step 3: Cross multiply
    188.67x = 282.79 × 142.87
  4. Step 4: Simplify right side
    188.67x = 40,402.21
  5. Step 5: Solve for x
    x = 40,402.21/188.67
  6. Step 6: Final answer
    x = 214.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.