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Finding the Fourth Proportional to 319.47, 440.88 and 188.56

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Solution

The fourth proportional to 319.47, 440.88 and 188.56 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 440.88 = 188.56 : x
  2. Step 2: Convert to fraction form
    319.47/440.88 = 188.56/x
  3. Step 3: Cross multiply
    319.47x = 440.88 × 188.56
  4. Step 4: Simplify right side
    319.47x = 83,132.33
  5. Step 5: Solve for x
    x = 83,132.33/319.47
  6. Step 6: Final answer
    x = 260.22

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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.