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Finding the Fourth Proportional to 188.84, 282.90 and 149.96

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Solution

The fourth proportional to 188.84, 282.90 and 149.96 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.84 : 282.90 = 149.96 : x
  2. Step 2: Convert to fraction form
    188.84/282.90 = 149.96/x
  3. Step 3: Cross multiply
    188.84x = 282.90 × 149.96
  4. Step 4: Simplify right side
    188.84x = 42,423.68
  5. Step 5: Solve for x
    x = 42,423.68/188.84
  6. Step 6: Final answer
    x = 224.65

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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.