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Finding the Fourth Proportional to 263.01, 362.94 and 144.96

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Solution

The fourth proportional to 263.01, 362.94 and 144.96 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.01 : 362.94 = 144.96 : x
  2. Step 2: Convert to fraction form
    263.01/362.94 = 144.96/x
  3. Step 3: Cross multiply
    263.01x = 362.94 × 144.96
  4. Step 4: Simplify right side
    263.01x = 52,611.06
  5. Step 5: Solve for x
    x = 52,611.06/263.01
  6. Step 6: Final answer
    x = 200.03

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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.