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Finding the Fourth Proportional to 145.16, 198.89 and 143.24

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Solution

The fourth proportional to 145.16, 198.89 and 143.24 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 198.89 = 143.24 : x
  2. Step 2: Convert to fraction form
    145.16/198.89 = 143.24/x
  3. Step 3: Cross multiply
    145.16x = 198.89 × 143.24
  4. Step 4: Simplify right side
    145.16x = 28,487.29
  5. Step 5: Solve for x
    x = 28,487.29/145.16
  6. Step 6: Final answer
    x = 196.25

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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.