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Finding the Fourth Proportional to 188.70, 282.43 and 142.93

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Solution

The fourth proportional to 188.70, 282.43 and 142.93 is: 213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.70 : 282.43 = 142.93 : x
  2. Step 2: Convert to fraction form
    188.70/282.43 = 142.93/x
  3. Step 3: Cross multiply
    188.70x = 282.43 × 142.93
  4. Step 4: Simplify right side
    188.70x = 40,367.72
  5. Step 5: Solve for x
    x = 40,367.72/188.70
  6. Step 6: Final answer
    x = 213.93

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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.