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Finding the Fourth Proportional to 313.68, 469.08 and 236.68

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Solution

The fourth proportional to 313.68, 469.08 and 236.68 is: 353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 469.08 = 236.68 : x
  2. Step 2: Convert to fraction form
    313.68/469.08 = 236.68/x
  3. Step 3: Cross multiply
    313.68x = 469.08 × 236.68
  4. Step 4: Simplify right side
    313.68x = 111,021.85
  5. Step 5: Solve for x
    x = 111,021.85/313.68
  6. Step 6: Final answer
    x = 353.93

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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.