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Finding the Fourth Proportional to 282.96, 390.48 and 164.96

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Solution

The fourth proportional to 282.96, 390.48 and 164.96 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 390.48 = 164.96 : x
  2. Step 2: Convert to fraction form
    282.96/390.48 = 164.96/x
  3. Step 3: Cross multiply
    282.96x = 390.48 × 164.96
  4. Step 4: Simplify right side
    282.96x = 64,413.58
  5. Step 5: Solve for x
    x = 64,413.58/282.96
  6. Step 6: Final answer
    x = 227.64

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Why These Related Problems?

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