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Finding the Fourth Proportional to 205.08, 307.29 and 153.48

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Solution

The fourth proportional to 205.08, 307.29 and 153.48 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 307.29 = 153.48 : x
  2. Step 2: Convert to fraction form
    205.08/307.29 = 153.48/x
  3. Step 3: Cross multiply
    205.08x = 307.29 × 153.48
  4. Step 4: Simplify right side
    205.08x = 47,162.87
  5. Step 5: Solve for x
    x = 47,162.87/205.08
  6. Step 6: Final answer
    x = 229.97

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