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Finding the Fourth Proportional to 311.67, 430.10 and 185.64

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Solution

The fourth proportional to 311.67, 430.10 and 185.64 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.67 : 430.10 = 185.64 : x
  2. Step 2: Convert to fraction form
    311.67/430.10 = 185.64/x
  3. Step 3: Cross multiply
    311.67x = 430.10 × 185.64
  4. Step 4: Simplify right side
    311.67x = 79,842.84
  5. Step 5: Solve for x
    x = 79,842.84/311.67
  6. Step 6: Final answer
    x = 256.18

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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.