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Finding the Fourth Proportional to 230.00, 344.46 and 114.53

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Solution

The fourth proportional to 230.00, 344.46 and 114.53 is: 171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.00 : 344.46 = 114.53 : x
  2. Step 2: Convert to fraction form
    230.00/344.46 = 114.53/x
  3. Step 3: Cross multiply
    230.00x = 344.46 × 114.53
  4. Step 4: Simplify right side
    230.00x = 39,449.28
  5. Step 5: Solve for x
    x = 39,449.28/230.00
  6. Step 6: Final answer
    x = 171.52

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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.