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Finding the Fourth Proportional to 188.16, 282 and 142.37

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Solution

The fourth proportional to 188.16, 282 and 142.37 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 282 = 142.37 : x
  2. Step 2: Convert to fraction form
    188.16/282 = 142.37/x
  3. Step 3: Cross multiply
    188.16x = 282 × 142.37
  4. Step 4: Simplify right side
    188.16x = 40,146.93
  5. Step 5: Solve for x
    x = 40,146.93/188.16
  6. Step 6: Final answer
    x = 213.37

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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.