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Finding the Fourth Proportional to 315.33, 434.73 and 221.98

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Solution

The fourth proportional to 315.33, 434.73 and 221.98 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 434.73 = 221.98 : x
  2. Step 2: Convert to fraction form
    315.33/434.73 = 221.98/x
  3. Step 3: Cross multiply
    315.33x = 434.73 × 221.98
  4. Step 4: Simplify right side
    315.33x = 96,500.26
  5. Step 5: Solve for x
    x = 96,500.26/315.33
  6. Step 6: Final answer
    x = 306.03

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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.