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Finding the Fourth Proportional to 319.07, 478.69 and 102.67

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Solution

The fourth proportional to 319.07, 478.69 and 102.67 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.07 : 478.69 = 102.67 : x
  2. Step 2: Convert to fraction form
    319.07/478.69 = 102.67/x
  3. Step 3: Cross multiply
    319.07x = 478.69 × 102.67
  4. Step 4: Simplify right side
    319.07x = 49,145.65
  5. Step 5: Solve for x
    x = 49,145.65/319.07
  6. Step 6: Final answer
    x = 154.03

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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.