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Finding the Fourth Proportional to 243.49, 336.02 and 145.25

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Solution

The fourth proportional to 243.49, 336.02 and 145.25 is: 200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.49 : 336.02 = 145.25 : x
  2. Step 2: Convert to fraction form
    243.49/336.02 = 145.25/x
  3. Step 3: Cross multiply
    243.49x = 336.02 × 145.25
  4. Step 4: Simplify right side
    243.49x = 48,806.91
  5. Step 5: Solve for x
    x = 48,806.91/243.49
  6. Step 6: Final answer
    x = 200.45

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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.