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Finding the Fourth Proportional to 199.95, 275.97 and 117.06

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Solution

The fourth proportional to 199.95, 275.97 and 117.06 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.95 : 275.97 = 117.06 : x
  2. Step 2: Convert to fraction form
    199.95/275.97 = 117.06/x
  3. Step 3: Cross multiply
    199.95x = 275.97 × 117.06
  4. Step 4: Simplify right side
    199.95x = 32,304.45
  5. Step 5: Solve for x
    x = 32,304.45/199.95
  6. Step 6: Final answer
    x = 161.56

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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.