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Finding the Fourth Proportional to 188.29, 282.44 and 142.72

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Solution

The fourth proportional to 188.29, 282.44 and 142.72 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 282.44 = 142.72 : x
  2. Step 2: Convert to fraction form
    188.29/282.44 = 142.72/x
  3. Step 3: Cross multiply
    188.29x = 282.44 × 142.72
  4. Step 4: Simplify right side
    188.29x = 40,309.12
  5. Step 5: Solve for x
    x = 40,309.12/188.29
  6. Step 6: Final answer
    x = 214.08

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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.