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Finding the Fourth Proportional to 145.14, 199.37 and 143.12

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Solution

The fourth proportional to 145.14, 199.37 and 143.12 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 199.37 = 143.12 : x
  2. Step 2: Convert to fraction form
    145.14/199.37 = 143.12/x
  3. Step 3: Cross multiply
    145.14x = 199.37 × 143.12
  4. Step 4: Simplify right side
    145.14x = 28,533.12
  5. Step 5: Solve for x
    x = 28,533.12/145.14
  6. Step 6: Final answer
    x = 196.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.