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Finding the Fourth Proportional to 199.06, 296.98 and 184.36

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Solution

The fourth proportional to 199.06, 296.98 and 184.36 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 296.98 = 184.36 : x
  2. Step 2: Convert to fraction form
    199.06/296.98 = 184.36/x
  3. Step 3: Cross multiply
    199.06x = 296.98 × 184.36
  4. Step 4: Simplify right side
    199.06x = 54,751.23
  5. Step 5: Solve for x
    x = 54,751.23/199.06
  6. Step 6: Final answer
    x = 275.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.