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Finding the Fourth Proportional to 199.86, 275.58 and 177.72

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Solution

The fourth proportional to 199.86, 275.58 and 177.72 is: 245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 275.58 = 177.72 : x
  2. Step 2: Convert to fraction form
    199.86/275.58 = 177.72/x
  3. Step 3: Cross multiply
    199.86x = 275.58 × 177.72
  4. Step 4: Simplify right side
    199.86x = 48,976.08
  5. Step 5: Solve for x
    x = 48,976.08/199.86
  6. Step 6: Final answer
    x = 245.05

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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.