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Finding the Fourth Proportional to 319.14, 440.42 and 188.24

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Solution

The fourth proportional to 319.14, 440.42 and 188.24 is: 259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 440.42 = 188.24 : x
  2. Step 2: Convert to fraction form
    319.14/440.42 = 188.24/x
  3. Step 3: Cross multiply
    319.14x = 440.42 × 188.24
  4. Step 4: Simplify right side
    319.14x = 82,901.52
  5. Step 5: Solve for x
    x = 82,901.52/319.14
  6. Step 6: Final answer
    x = 259.77

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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.