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Finding the Fourth Proportional to 313.54, 469.96 and 191.54

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Solution

The fourth proportional to 313.54, 469.96 and 191.54 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 469.96 = 191.54 : x
  2. Step 2: Convert to fraction form
    313.54/469.96 = 191.54/x
  3. Step 3: Cross multiply
    313.54x = 469.96 × 191.54
  4. Step 4: Simplify right side
    313.54x = 90,016.14
  5. Step 5: Solve for x
    x = 90,016.14/313.54
  6. Step 6: Final answer
    x = 287.10

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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.