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Finding the Fourth Proportional to 319.15, 440.27 and 188.13

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Solution

The fourth proportional to 319.15, 440.27 and 188.13 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.27 = 188.13 : x
  2. Step 2: Convert to fraction form
    319.15/440.27 = 188.13/x
  3. Step 3: Cross multiply
    319.15x = 440.27 × 188.13
  4. Step 4: Simplify right side
    319.15x = 82,829.41
  5. Step 5: Solve for x
    x = 82,829.41/319.15
  6. Step 6: Final answer
    x = 259.53

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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.