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Finding the Fourth Proportional to 309.70, 464.25 and 114.65

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Solution

The fourth proportional to 309.70, 464.25 and 114.65 is: 171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 464.25 = 114.65 : x
  2. Step 2: Convert to fraction form
    309.70/464.25 = 114.65/x
  3. Step 3: Cross multiply
    309.70x = 464.25 × 114.65
  4. Step 4: Simplify right side
    309.70x = 53,223.94
  5. Step 5: Solve for x
    x = 53,223.94/309.70
  6. Step 6: Final answer
    x = 171.86

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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.