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Finding the Fourth Proportional to 192.12, 264.90 and 145.52

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Solution

The fourth proportional to 192.12, 264.90 and 145.52 is: 200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.12 : 264.90 = 145.52 : x
  2. Step 2: Convert to fraction form
    192.12/264.90 = 145.52/x
  3. Step 3: Cross multiply
    192.12x = 264.90 × 145.52
  4. Step 4: Simplify right side
    192.12x = 38,548.25
  5. Step 5: Solve for x
    x = 38,548.25/192.12
  6. Step 6: Final answer
    x = 200.65

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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.