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Finding the Fourth Proportional to 188.38, 282.96 and 164.32

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Solution

The fourth proportional to 188.38, 282.96 and 164.32 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.38 : 282.96 = 164.32 : x
  2. Step 2: Convert to fraction form
    188.38/282.96 = 164.32/x
  3. Step 3: Cross multiply
    188.38x = 282.96 × 164.32
  4. Step 4: Simplify right side
    188.38x = 46,495.99
  5. Step 5: Solve for x
    x = 46,495.99/188.38
  6. Step 6: Final answer
    x = 246.82

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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.