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Finding the Fourth Proportional to 311.51, 429.66 and 221.93

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Solution

The fourth proportional to 311.51, 429.66 and 221.93 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.51 : 429.66 = 221.93 : x
  2. Step 2: Convert to fraction form
    311.51/429.66 = 221.93/x
  3. Step 3: Cross multiply
    311.51x = 429.66 × 221.93
  4. Step 4: Simplify right side
    311.51x = 95,352.30
  5. Step 5: Solve for x
    x = 95,352.30/311.51
  6. Step 6: Final answer
    x = 306.10

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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.