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Finding the Fourth Proportional to 319.65, 441.07 and 188.63

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Solution

The fourth proportional to 319.65, 441.07 and 188.63 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.65 : 441.07 = 188.63 : x
  2. Step 2: Convert to fraction form
    319.65/441.07 = 188.63/x
  3. Step 3: Cross multiply
    319.65x = 441.07 × 188.63
  4. Step 4: Simplify right side
    319.65x = 83,195.89
  5. Step 5: Solve for x
    x = 83,195.89/319.65
  6. Step 6: Final answer
    x = 260.28

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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.