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Finding the Fourth Proportional to 163.14, 225.45 and 145.14

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Solution

The fourth proportional to 163.14, 225.45 and 145.14 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 225.45 = 145.14 : x
  2. Step 2: Convert to fraction form
    163.14/225.45 = 145.14/x
  3. Step 3: Cross multiply
    163.14x = 225.45 × 145.14
  4. Step 4: Simplify right side
    163.14x = 32,721.81
  5. Step 5: Solve for x
    x = 32,721.81/163.14
  6. Step 6: Final answer
    x = 200.58

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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.