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Finding the Fourth Proportional to 205.92, 283.40 and 147.60

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Solution

The fourth proportional to 205.92, 283.40 and 147.60 is: 203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 283.40 = 147.60 : x
  2. Step 2: Convert to fraction form
    205.92/283.40 = 147.60/x
  3. Step 3: Cross multiply
    205.92x = 283.40 × 147.60
  4. Step 4: Simplify right side
    205.92x = 41,829.84
  5. Step 5: Solve for x
    x = 41,829.84/205.92
  6. Step 6: Final answer
    x = 203.14

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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.