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Finding the Fourth Proportional to 196.02, 270.52 and 107.50

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Solution

The fourth proportional to 196.02, 270.52 and 107.50 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 270.52 = 107.50 : x
  2. Step 2: Convert to fraction form
    196.02/270.52 = 107.50/x
  3. Step 3: Cross multiply
    196.02x = 270.52 × 107.50
  4. Step 4: Simplify right side
    196.02x = 29,080.90
  5. Step 5: Solve for x
    x = 29,080.90/196.02
  6. Step 6: Final answer
    x = 148.36

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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.