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Finding the Fourth Proportional to 319.15, 440.34 and 188.11

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Solution

The fourth proportional to 319.15, 440.34 and 188.11 is: 259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.34 = 188.11 : x
  2. Step 2: Convert to fraction form
    319.15/440.34 = 188.11/x
  3. Step 3: Cross multiply
    319.15x = 440.34 × 188.11
  4. Step 4: Simplify right side
    319.15x = 82,832.36
  5. Step 5: Solve for x
    x = 82,832.36/319.15
  6. Step 6: Final answer
    x = 259.54

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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.