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Finding the Fourth Proportional to 204.90, 307.19 and 102.23

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Solution

The fourth proportional to 204.90, 307.19 and 102.23 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 307.19 = 102.23 : x
  2. Step 2: Convert to fraction form
    204.90/307.19 = 102.23/x
  3. Step 3: Cross multiply
    204.90x = 307.19 × 102.23
  4. Step 4: Simplify right side
    204.90x = 31,403.91
  5. Step 5: Solve for x
    x = 31,403.91/204.90
  6. Step 6: Final answer
    x = 153.27

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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.