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Finding the Fourth Proportional to 188.15, 282.04 and 85.35

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Solution

The fourth proportional to 188.15, 282.04 and 85.35 is: 127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.15 : 282.04 = 85.35 : x
  2. Step 2: Convert to fraction form
    188.15/282.04 = 85.35/x
  3. Step 3: Cross multiply
    188.15x = 282.04 × 85.35
  4. Step 4: Simplify right side
    188.15x = 24,072.11
  5. Step 5: Solve for x
    x = 24,072.11/188.15
  6. Step 6: Final answer
    x = 127.94

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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.