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Finding the Fourth Proportional to 309.69, 464.41 and 114.70

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Solution

The fourth proportional to 309.69, 464.41 and 114.70 is: 172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 464.41 = 114.70 : x
  2. Step 2: Convert to fraction form
    309.69/464.41 = 114.70/x
  3. Step 3: Cross multiply
    309.69x = 464.41 × 114.70
  4. Step 4: Simplify right side
    309.69x = 53,268.66
  5. Step 5: Solve for x
    x = 53,268.66/309.69
  6. Step 6: Final answer
    x = 172.01

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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.