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Finding the Fourth Proportional to 315.14, 435.32 and 221.85

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Solution

The fourth proportional to 315.14, 435.32 and 221.85 is: 306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 435.32 = 221.85 : x
  2. Step 2: Convert to fraction form
    315.14/435.32 = 221.85/x
  3. Step 3: Cross multiply
    315.14x = 435.32 × 221.85
  4. Step 4: Simplify right side
    315.14x = 96,575.46
  5. Step 5: Solve for x
    x = 96,575.46/315.14
  6. Step 6: Final answer
    x = 306.46

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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.