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Finding the Fourth Proportional to 242.37, 364.95 and 199.44

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Solution

The fourth proportional to 242.37, 364.95 and 199.44 is: 300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 364.95 = 199.44 : x
  2. Step 2: Convert to fraction form
    242.37/364.95 = 199.44/x
  3. Step 3: Cross multiply
    242.37x = 364.95 × 199.44
  4. Step 4: Simplify right side
    242.37x = 72,785.63
  5. Step 5: Solve for x
    x = 72,785.63/242.37
  6. Step 6: Final answer
    x = 300.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.