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Finding the Fourth Proportional to 188.25, 282.08 and 160.68

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Solution

The fourth proportional to 188.25, 282.08 and 160.68 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.25 : 282.08 = 160.68 : x
  2. Step 2: Convert to fraction form
    188.25/282.08 = 160.68/x
  3. Step 3: Cross multiply
    188.25x = 282.08 × 160.68
  4. Step 4: Simplify right side
    188.25x = 45,326.07
  5. Step 5: Solve for x
    x = 45,326.07/188.25
  6. Step 6: Final answer
    x = 240.78

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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.