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Finding the Fourth Proportional to 188.82, 284.23 and 160.98

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Solution

The fourth proportional to 188.82, 284.23 and 160.98 is: 242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 284.23 = 160.98 : x
  2. Step 2: Convert to fraction form
    188.82/284.23 = 160.98/x
  3. Step 3: Cross multiply
    188.82x = 284.23 × 160.98
  4. Step 4: Simplify right side
    188.82x = 45,754.54
  5. Step 5: Solve for x
    x = 45,754.54/188.82
  6. Step 6: Final answer
    x = 242.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.