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Finding the Fourth Proportional to 309.93, 427.71 and 170.05

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Solution

The fourth proportional to 309.93, 427.71 and 170.05 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 427.71 = 170.05 : x
  2. Step 2: Convert to fraction form
    309.93/427.71 = 170.05/x
  3. Step 3: Cross multiply
    309.93x = 427.71 × 170.05
  4. Step 4: Simplify right side
    309.93x = 72,732.09
  5. Step 5: Solve for x
    x = 72,732.09/309.93
  6. Step 6: Final answer
    x = 234.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.