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Finding the Fourth Proportional to 188.63, 282.75 and 78.87

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Solution

The fourth proportional to 188.63, 282.75 and 78.87 is: 118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.63 : 282.75 = 78.87 : x
  2. Step 2: Convert to fraction form
    188.63/282.75 = 78.87/x
  3. Step 3: Cross multiply
    188.63x = 282.75 × 78.87
  4. Step 4: Simplify right side
    188.63x = 22,300.49
  5. Step 5: Solve for x
    x = 22,300.49/188.63
  6. Step 6: Final answer
    x = 118.23

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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.