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Finding the Fourth Proportional to 205.08, 307.46 and 102.26

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Solution

The fourth proportional to 205.08, 307.46 and 102.26 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 307.46 = 102.26 : x
  2. Step 2: Convert to fraction form
    205.08/307.46 = 102.26/x
  3. Step 3: Cross multiply
    205.08x = 307.46 × 102.26
  4. Step 4: Simplify right side
    205.08x = 31,440.86
  5. Step 5: Solve for x
    x = 31,440.86/205.08
  6. Step 6: Final answer
    x = 153.31

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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.