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Finding the Fourth Proportional to 319.19, 440.47 and 199.53

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Solution

The fourth proportional to 319.19, 440.47 and 199.53 is: 275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 440.47 = 199.53 : x
  2. Step 2: Convert to fraction form
    319.19/440.47 = 199.53/x
  3. Step 3: Cross multiply
    319.19x = 440.47 × 199.53
  4. Step 4: Simplify right side
    319.19x = 87,887.23
  5. Step 5: Solve for x
    x = 87,887.23/319.19
  6. Step 6: Final answer
    x = 275.34

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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.