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Finding the Fourth Proportional to 188.85, 284.27 and 145.75

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Solution

The fourth proportional to 188.85, 284.27 and 145.75 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.85 : 284.27 = 145.75 : x
  2. Step 2: Convert to fraction form
    188.85/284.27 = 145.75/x
  3. Step 3: Cross multiply
    188.85x = 284.27 × 145.75
  4. Step 4: Simplify right side
    188.85x = 41,432.35
  5. Step 5: Solve for x
    x = 41,432.35/188.85
  6. Step 6: Final answer
    x = 219.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.