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Finding the Fourth Proportional to 311.51, 467.80 and 230.06

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Solution

The fourth proportional to 311.51, 467.80 and 230.06 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.51 : 467.80 = 230.06 : x
  2. Step 2: Convert to fraction form
    311.51/467.80 = 230.06/x
  3. Step 3: Cross multiply
    311.51x = 467.80 × 230.06
  4. Step 4: Simplify right side
    311.51x = 107,619.15
  5. Step 5: Solve for x
    x = 107,619.15/311.51
  6. Step 6: Final answer
    x = 345.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.