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Finding the Fourth Proportional to 197.03, 293.90 and 175.37

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Solution

The fourth proportional to 197.03, 293.90 and 175.37 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 293.90 = 175.37 : x
  2. Step 2: Convert to fraction form
    197.03/293.90 = 175.37/x
  3. Step 3: Cross multiply
    197.03x = 293.90 × 175.37
  4. Step 4: Simplify right side
    197.03x = 51,538.90
  5. Step 5: Solve for x
    x = 51,538.90/197.03
  6. Step 6: Final answer
    x = 261.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.