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Finding the Fourth Proportional to 319.72, 441.21 and 188.77

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Solution

The fourth proportional to 319.72, 441.21 and 188.77 is: 260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 441.21 = 188.77 : x
  2. Step 2: Convert to fraction form
    319.72/441.21 = 188.77/x
  3. Step 3: Cross multiply
    319.72x = 441.21 × 188.77
  4. Step 4: Simplify right side
    319.72x = 83,287.21
  5. Step 5: Solve for x
    x = 83,287.21/319.72
  6. Step 6: Final answer
    x = 260.50

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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.