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Finding the Fourth Proportional to 309.53, 464.34 and 114.49

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Solution

The fourth proportional to 309.53, 464.34 and 114.49 is: 171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.53 : 464.34 = 114.49 : x
  2. Step 2: Convert to fraction form
    309.53/464.34 = 114.49/x
  3. Step 3: Cross multiply
    309.53x = 464.34 × 114.49
  4. Step 4: Simplify right side
    309.53x = 53,162.29
  5. Step 5: Solve for x
    x = 53,162.29/309.53
  6. Step 6: Final answer
    x = 171.75

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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.