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Finding the Fourth Proportional to 205.34, 308.01 and 59.09

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Solution

The fourth proportional to 205.34, 308.01 and 59.09 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 308.01 = 59.09 : x
  2. Step 2: Convert to fraction form
    205.34/308.01 = 59.09/x
  3. Step 3: Cross multiply
    205.34x = 308.01 × 59.09
  4. Step 4: Simplify right side
    205.34x = 18,201.00
  5. Step 5: Solve for x
    x = 18,201.00/205.34
  6. Step 6: Final answer
    x = 88.64

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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.