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Finding the Fourth Proportional to 309.95, 427.69 and 199.58

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Solution

The fourth proportional to 309.95, 427.69 and 199.58 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 427.69 = 199.58 : x
  2. Step 2: Convert to fraction form
    309.95/427.69 = 199.58/x
  3. Step 3: Cross multiply
    309.95x = 427.69 × 199.58
  4. Step 4: Simplify right side
    309.95x = 85,356.86
  5. Step 5: Solve for x
    x = 85,356.86/309.95
  6. Step 6: Final answer
    x = 275.39

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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.