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Finding the Fourth Proportional to 188.54, 282.18 and 147.84

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Solution

The fourth proportional to 188.54, 282.18 and 147.84 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.54 : 282.18 = 147.84 : x
  2. Step 2: Convert to fraction form
    188.54/282.18 = 147.84/x
  3. Step 3: Cross multiply
    188.54x = 282.18 × 147.84
  4. Step 4: Simplify right side
    188.54x = 41,717.49
  5. Step 5: Solve for x
    x = 41,717.49/188.54
  6. Step 6: Final answer
    x = 221.27

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Why These Related Problems?

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