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Finding the Fourth Proportional to 205.38, 307.91 and 97.04

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Solution

The fourth proportional to 205.38, 307.91 and 97.04 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 307.91 = 97.04 : x
  2. Step 2: Convert to fraction form
    205.38/307.91 = 97.04/x
  3. Step 3: Cross multiply
    205.38x = 307.91 × 97.04
  4. Step 4: Simplify right side
    205.38x = 29,880.60
  5. Step 5: Solve for x
    x = 29,880.60/205.38
  6. Step 6: Final answer
    x = 145.49

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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.