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Finding the Fourth Proportional to 319, 440.02 and 188.05

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Solution

The fourth proportional to 319, 440.02 and 188.05 is: 259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 440.02 = 188.05 : x
  2. Step 2: Convert to fraction form
    319/440.02 = 188.05/x
  3. Step 3: Cross multiply
    319x = 440.02 × 188.05
  4. Step 4: Simplify right side
    319x = 82,745.76
  5. Step 5: Solve for x
    x = 82,745.76/319
  6. Step 6: Final answer
    x = 259.39

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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.