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Finding the Fourth Proportional to 199.94, 275.82 and 117.03

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Solution

The fourth proportional to 199.94, 275.82 and 117.03 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 275.82 = 117.03 : x
  2. Step 2: Convert to fraction form
    199.94/275.82 = 117.03/x
  3. Step 3: Cross multiply
    199.94x = 275.82 × 117.03
  4. Step 4: Simplify right side
    199.94x = 32,279.21
  5. Step 5: Solve for x
    x = 32,279.21/199.94
  6. Step 6: Final answer
    x = 161.44

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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.