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Finding the Fourth Proportional to 294.94, 407.03 and 184.45

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Solution

The fourth proportional to 294.94, 407.03 and 184.45 is: 254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 407.03 = 184.45 : x
  2. Step 2: Convert to fraction form
    294.94/407.03 = 184.45/x
  3. Step 3: Cross multiply
    294.94x = 407.03 × 184.45
  4. Step 4: Simplify right side
    294.94x = 75,076.68
  5. Step 5: Solve for x
    x = 75,076.68/294.94
  6. Step 6: Final answer
    x = 254.55

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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.