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Finding the Fourth Proportional to 205.72, 283.74 and 140.08

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Solution

The fourth proportional to 205.72, 283.74 and 140.08 is: 193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 283.74 = 140.08 : x
  2. Step 2: Convert to fraction form
    205.72/283.74 = 140.08/x
  3. Step 3: Cross multiply
    205.72x = 283.74 × 140.08
  4. Step 4: Simplify right side
    205.72x = 39,746.30
  5. Step 5: Solve for x
    x = 39,746.30/205.72
  6. Step 6: Final answer
    x = 193.21

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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.