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Finding the Fourth Proportional to 199.85, 275.80 and 117.00

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Solution

The fourth proportional to 199.85, 275.80 and 117.00 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.85 : 275.80 = 117.00 : x
  2. Step 2: Convert to fraction form
    199.85/275.80 = 117.00/x
  3. Step 3: Cross multiply
    199.85x = 275.80 × 117.00
  4. Step 4: Simplify right side
    199.85x = 32,269.78
  5. Step 5: Solve for x
    x = 32,269.78/199.85
  6. Step 6: Final answer
    x = 161.47

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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.