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Finding the Fourth Proportional to 201.90, 302.84 and 156.26

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Solution

The fourth proportional to 201.90, 302.84 and 156.26 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 302.84 = 156.26 : x
  2. Step 2: Convert to fraction form
    201.90/302.84 = 156.26/x
  3. Step 3: Cross multiply
    201.90x = 302.84 × 156.26
  4. Step 4: Simplify right side
    201.90x = 47,319.48
  5. Step 5: Solve for x
    x = 47,319.48/201.90
  6. Step 6: Final answer
    x = 234.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.