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Finding the Fourth Proportional to 319.07, 478.31 and 102.51

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Solution

The fourth proportional to 319.07, 478.31 and 102.51 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.07 : 478.31 = 102.51 : x
  2. Step 2: Convert to fraction form
    319.07/478.31 = 102.51/x
  3. Step 3: Cross multiply
    319.07x = 478.31 × 102.51
  4. Step 4: Simplify right side
    319.07x = 49,031.56
  5. Step 5: Solve for x
    x = 49,031.56/319.07
  6. Step 6: Final answer
    x = 153.67

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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.