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Finding the Fourth Proportional to 319.83, 441.39 and 188.88

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Solution

The fourth proportional to 319.83, 441.39 and 188.88 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.83 : 441.39 = 188.88 : x
  2. Step 2: Convert to fraction form
    319.83/441.39 = 188.88/x
  3. Step 3: Cross multiply
    319.83x = 441.39 × 188.88
  4. Step 4: Simplify right side
    319.83x = 83,369.74
  5. Step 5: Solve for x
    x = 83,369.74/319.83
  6. Step 6: Final answer
    x = 260.67

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