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Finding the Fourth Proportional to 310.65, 467.82 and 234.18

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Solution

The fourth proportional to 310.65, 467.82 and 234.18 is: 352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.65 : 467.82 = 234.18 : x
  2. Step 2: Convert to fraction form
    310.65/467.82 = 234.18/x
  3. Step 3: Cross multiply
    310.65x = 467.82 × 234.18
  4. Step 4: Simplify right side
    310.65x = 109,554.09
  5. Step 5: Solve for x
    x = 109,554.09/310.65
  6. Step 6: Final answer
    x = 352.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.