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Finding the Fourth Proportional to 309.65, 464.38 and 114.62

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Solution

The fourth proportional to 309.65, 464.38 and 114.62 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 464.38 = 114.62 : x
  2. Step 2: Convert to fraction form
    309.65/464.38 = 114.62/x
  3. Step 3: Cross multiply
    309.65x = 464.38 × 114.62
  4. Step 4: Simplify right side
    309.65x = 53,224.63
  5. Step 5: Solve for x
    x = 53,224.63/309.65
  6. Step 6: Final answer
    x = 171.89

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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.