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Finding the Fourth Proportional to 205.29, 307.72 and 97.15

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Solution

The fourth proportional to 205.29, 307.72 and 97.15 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 307.72 = 97.15 : x
  2. Step 2: Convert to fraction form
    205.29/307.72 = 97.15/x
  3. Step 3: Cross multiply
    205.29x = 307.72 × 97.15
  4. Step 4: Simplify right side
    205.29x = 29,895.00
  5. Step 5: Solve for x
    x = 29,895.00/205.29
  6. Step 6: Final answer
    x = 145.62

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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.