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Finding the Fourth Proportional to 205.54, 308.34 and 97.42

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Solution

The fourth proportional to 205.54, 308.34 and 97.42 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 308.34 = 97.42 : x
  2. Step 2: Convert to fraction form
    205.54/308.34 = 97.42/x
  3. Step 3: Cross multiply
    205.54x = 308.34 × 97.42
  4. Step 4: Simplify right side
    205.54x = 30,038.48
  5. Step 5: Solve for x
    x = 30,038.48/205.54
  6. Step 6: Final answer
    x = 146.14

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Why These Related Problems?

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