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Finding the Fourth Proportional to 203, 302.79 and 184.82

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Solution

The fourth proportional to 203, 302.79 and 184.82 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 302.79 = 184.82 : x
  2. Step 2: Convert to fraction form
    203/302.79 = 184.82/x
  3. Step 3: Cross multiply
    203x = 302.79 × 184.82
  4. Step 4: Simplify right side
    203x = 55,960.72
  5. Step 5: Solve for x
    x = 55,960.72/203
  6. Step 6: Final answer
    x = 275.67

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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.