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Finding the Fourth Proportional to 313.68, 469.92 and 159.42

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Solution

The fourth proportional to 313.68, 469.92 and 159.42 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 469.92 = 159.42 : x
  2. Step 2: Convert to fraction form
    313.68/469.92 = 159.42/x
  3. Step 3: Cross multiply
    313.68x = 469.92 × 159.42
  4. Step 4: Simplify right side
    313.68x = 74,914.65
  5. Step 5: Solve for x
    x = 74,914.65/313.68
  6. Step 6: Final answer
    x = 238.83

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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.