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Finding the Fourth Proportional to 188.70, 282.96 and 71.54

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Solution

The fourth proportional to 188.70, 282.96 and 71.54 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.70 : 282.96 = 71.54 : x
  2. Step 2: Convert to fraction form
    188.70/282.96 = 71.54/x
  3. Step 3: Cross multiply
    188.70x = 282.96 × 71.54
  4. Step 4: Simplify right side
    188.70x = 20,242.96
  5. Step 5: Solve for x
    x = 20,242.96/188.70
  6. Step 6: Final answer
    x = 107.28

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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.