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Finding the Fourth Proportional to 201.96, 279.15 and 147.08

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Solution

The fourth proportional to 201.96, 279.15 and 147.08 is: 203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 279.15 = 147.08 : x
  2. Step 2: Convert to fraction form
    201.96/279.15 = 147.08/x
  3. Step 3: Cross multiply
    201.96x = 279.15 × 147.08
  4. Step 4: Simplify right side
    201.96x = 41,058.88
  5. Step 5: Solve for x
    x = 41,058.88/201.96
  6. Step 6: Final answer
    x = 203.30

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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.