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Finding the Fourth Proportional to 303.35, 418.50 and 204.93

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Solution

The fourth proportional to 303.35, 418.50 and 204.93 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.35 : 418.50 = 204.93 : x
  2. Step 2: Convert to fraction form
    303.35/418.50 = 204.93/x
  3. Step 3: Cross multiply
    303.35x = 418.50 × 204.93
  4. Step 4: Simplify right side
    303.35x = 85,763.21
  5. Step 5: Solve for x
    x = 85,763.21/303.35
  6. Step 6: Final answer
    x = 282.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.