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Finding the Fourth Proportional to 311.65, 430.26 and 192.02

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Solution

The fourth proportional to 311.65, 430.26 and 192.02 is: 265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 430.26 = 192.02 : x
  2. Step 2: Convert to fraction form
    311.65/430.26 = 192.02/x
  3. Step 3: Cross multiply
    311.65x = 430.26 × 192.02
  4. Step 4: Simplify right side
    311.65x = 82,619.15
  5. Step 5: Solve for x
    x = 82,619.15/311.65
  6. Step 6: Final answer
    x = 265.10

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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.