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Finding the Fourth Proportional to 199.94, 275.89 and 117.04

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Solution

The fourth proportional to 199.94, 275.89 and 117.04 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 275.89 = 117.04 : x
  2. Step 2: Convert to fraction form
    199.94/275.89 = 117.04/x
  3. Step 3: Cross multiply
    199.94x = 275.89 × 117.04
  4. Step 4: Simplify right side
    199.94x = 32,290.17
  5. Step 5: Solve for x
    x = 32,290.17/199.94
  6. Step 6: Final answer
    x = 161.50

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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.