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Finding the Fourth Proportional to 201.70, 302.55 and 193.06

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Solution

The fourth proportional to 201.70, 302.55 and 193.06 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 302.55 = 193.06 : x
  2. Step 2: Convert to fraction form
    201.70/302.55 = 193.06/x
  3. Step 3: Cross multiply
    201.70x = 302.55 × 193.06
  4. Step 4: Simplify right side
    201.70x = 58,410.30
  5. Step 5: Solve for x
    x = 58,410.30/201.70
  6. Step 6: Final answer
    x = 289.59

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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.