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Finding the Fourth Proportional to 205.47, 282.74 and 177.75

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Solution

The fourth proportional to 205.47, 282.74 and 177.75 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 282.74 = 177.75 : x
  2. Step 2: Convert to fraction form
    205.47/282.74 = 177.75/x
  3. Step 3: Cross multiply
    205.47x = 282.74 × 177.75
  4. Step 4: Simplify right side
    205.47x = 50,256.15
  5. Step 5: Solve for x
    x = 50,256.15/205.47
  6. Step 6: Final answer
    x = 244.59

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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.