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Finding the Fourth Proportional to 204.90, 305.04 and 204.30

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Solution

The fourth proportional to 204.90, 305.04 and 204.30 is: 304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 305.04 = 204.30 : x
  2. Step 2: Convert to fraction form
    204.90/305.04 = 204.30/x
  3. Step 3: Cross multiply
    204.90x = 305.04 × 204.30
  4. Step 4: Simplify right side
    204.90x = 62,319.67
  5. Step 5: Solve for x
    x = 62,319.67/204.90
  6. Step 6: Final answer
    x = 304.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.