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Finding the Fourth Proportional to 231.53, 319.54 and 144.21

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Solution

The fourth proportional to 231.53, 319.54 and 144.21 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.53 : 319.54 = 144.21 : x
  2. Step 2: Convert to fraction form
    231.53/319.54 = 144.21/x
  3. Step 3: Cross multiply
    231.53x = 319.54 × 144.21
  4. Step 4: Simplify right side
    231.53x = 46,080.14
  5. Step 5: Solve for x
    x = 46,080.14/231.53
  6. Step 6: Final answer
    x = 199.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.