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Finding the Fourth Proportional to 309.66, 464.21 and 114.53

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Solution

The fourth proportional to 309.66, 464.21 and 114.53 is: 171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 464.21 = 114.53 : x
  2. Step 2: Convert to fraction form
    309.66/464.21 = 114.53/x
  3. Step 3: Cross multiply
    309.66x = 464.21 × 114.53
  4. Step 4: Simplify right side
    309.66x = 53,163.51
  5. Step 5: Solve for x
    x = 53,163.51/309.66
  6. Step 6: Final answer
    x = 171.69

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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.