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Finding the Fourth Proportional to 319.70, 441.12 and 188.67

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Solution

The fourth proportional to 319.70, 441.12 and 188.67 is: 260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 441.12 = 188.67 : x
  2. Step 2: Convert to fraction form
    319.70/441.12 = 188.67/x
  3. Step 3: Cross multiply
    319.70x = 441.12 × 188.67
  4. Step 4: Simplify right side
    319.70x = 83,226.11
  5. Step 5: Solve for x
    x = 83,226.11/319.70
  6. Step 6: Final answer
    x = 260.33

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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.