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Finding the Fourth Proportional to 319.13, 440.32 and 188.06

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Solution

The fourth proportional to 319.13, 440.32 and 188.06 is: 259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 440.32 = 188.06 : x
  2. Step 2: Convert to fraction form
    319.13/440.32 = 188.06/x
  3. Step 3: Cross multiply
    319.13x = 440.32 × 188.06
  4. Step 4: Simplify right side
    319.13x = 82,805.64
  5. Step 5: Solve for x
    x = 82,805.64/319.13
  6. Step 6: Final answer
    x = 259.48

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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.