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Finding the Fourth Proportional to 195.01, 291.14 and 173.14

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Solution

The fourth proportional to 195.01, 291.14 and 173.14 is: 258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.01 : 291.14 = 173.14 : x
  2. Step 2: Convert to fraction form
    195.01/291.14 = 173.14/x
  3. Step 3: Cross multiply
    195.01x = 291.14 × 173.14
  4. Step 4: Simplify right side
    195.01x = 50,408.01
  5. Step 5: Solve for x
    x = 50,408.01/195.01
  6. Step 6: Final answer
    x = 258.49

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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.