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Finding the Fourth Proportional to 263.18, 394.67 and 78.03

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Solution

The fourth proportional to 263.18, 394.67 and 78.03 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.18 : 394.67 = 78.03 : x
  2. Step 2: Convert to fraction form
    263.18/394.67 = 78.03/x
  3. Step 3: Cross multiply
    263.18x = 394.67 × 78.03
  4. Step 4: Simplify right side
    263.18x = 30,795.02
  5. Step 5: Solve for x
    x = 30,795.02/263.18
  6. Step 6: Final answer
    x = 117.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.