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Finding the Fourth Proportional to 310.65, 465.90 and 105.22

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Solution

The fourth proportional to 310.65, 465.90 and 105.22 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.65 : 465.90 = 105.22 : x
  2. Step 2: Convert to fraction form
    310.65/465.90 = 105.22/x
  3. Step 3: Cross multiply
    310.65x = 465.90 × 105.22
  4. Step 4: Simplify right side
    310.65x = 49,020.16
  5. Step 5: Solve for x
    x = 49,020.16/310.65
  6. Step 6: Final answer
    x = 157.80

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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.