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Finding the Fourth Proportional to 201.80, 302.80 and 93.58

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Solution

The fourth proportional to 201.80, 302.80 and 93.58 is: 140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.80 = 93.58 : x
  2. Step 2: Convert to fraction form
    201.80/302.80 = 93.58/x
  3. Step 3: Cross multiply
    201.80x = 302.80 × 93.58
  4. Step 4: Simplify right side
    201.80x = 28,336.02
  5. Step 5: Solve for x
    x = 28,336.02/201.80
  6. Step 6: Final answer
    x = 140.42

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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.