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Finding the Fourth Proportional to 243.69, 336.15 and 145.38

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Solution

The fourth proportional to 243.69, 336.15 and 145.38 is: 200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.69 : 336.15 = 145.38 : x
  2. Step 2: Convert to fraction form
    243.69/336.15 = 145.38/x
  3. Step 3: Cross multiply
    243.69x = 336.15 × 145.38
  4. Step 4: Simplify right side
    243.69x = 48,869.49
  5. Step 5: Solve for x
    x = 48,869.49/243.69
  6. Step 6: Final answer
    x = 200.54

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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.