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Finding the Fourth Proportional to 205.45, 282.93 and 178.85

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Solution

The fourth proportional to 205.45, 282.93 and 178.85 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 282.93 = 178.85 : x
  2. Step 2: Convert to fraction form
    205.45/282.93 = 178.85/x
  3. Step 3: Cross multiply
    205.45x = 282.93 × 178.85
  4. Step 4: Simplify right side
    205.45x = 50,602.03
  5. Step 5: Solve for x
    x = 50,602.03/205.45
  6. Step 6: Final answer
    x = 246.30

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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.