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Finding the Fourth Proportional to 205.52, 308.00 and 97.07

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Solution

The fourth proportional to 205.52, 308.00 and 97.07 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 308.00 = 97.07 : x
  2. Step 2: Convert to fraction form
    205.52/308.00 = 97.07/x
  3. Step 3: Cross multiply
    205.52x = 308.00 × 97.07
  4. Step 4: Simplify right side
    205.52x = 29,895.53
  5. Step 5: Solve for x
    x = 29,895.53/205.52
  6. Step 6: Final answer
    x = 145.47

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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.