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Finding the Fourth Proportional to 199.94, 298.95 and 177.26

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Solution

The fourth proportional to 199.94, 298.95 and 177.26 is: 265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 298.95 = 177.26 : x
  2. Step 2: Convert to fraction form
    199.94/298.95 = 177.26/x
  3. Step 3: Cross multiply
    199.94x = 298.95 × 177.26
  4. Step 4: Simplify right side
    199.94x = 52,991.88
  5. Step 5: Solve for x
    x = 52,991.88/199.94
  6. Step 6: Final answer
    x = 265.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.