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Finding the Fourth Proportional to 282.92, 390.48 and 166.48

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Solution

The fourth proportional to 282.92, 390.48 and 166.48 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 390.48 = 166.48 : x
  2. Step 2: Convert to fraction form
    282.92/390.48 = 166.48/x
  3. Step 3: Cross multiply
    282.92x = 390.48 × 166.48
  4. Step 4: Simplify right side
    282.92x = 65,007.11
  5. Step 5: Solve for x
    x = 65,007.11/282.92
  6. Step 6: Final answer
    x = 229.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.