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Finding the Fourth Proportional to 319.40, 440.74 and 188.38

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Solution

The fourth proportional to 319.40, 440.74 and 188.38 is: 259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 440.74 = 188.38 : x
  2. Step 2: Convert to fraction form
    319.40/440.74 = 188.38/x
  3. Step 3: Cross multiply
    319.40x = 440.74 × 188.38
  4. Step 4: Simplify right side
    319.40x = 83,023.46
  5. Step 5: Solve for x
    x = 83,023.46/319.40
  6. Step 6: Final answer
    x = 259.94

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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.