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Finding the Fourth Proportional to 319.05, 440.25 and 188.01

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Solution

The fourth proportional to 319.05, 440.25 and 188.01 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.05 : 440.25 = 188.01 : x
  2. Step 2: Convert to fraction form
    319.05/440.25 = 188.01/x
  3. Step 3: Cross multiply
    319.05x = 440.25 × 188.01
  4. Step 4: Simplify right side
    319.05x = 82,771.40
  5. Step 5: Solve for x
    x = 82,771.40/319.05
  6. Step 6: Final answer
    x = 259.43

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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.