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Finding the Fourth Proportional to 294.79, 406.66 and 184.33

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Solution

The fourth proportional to 294.79, 406.66 and 184.33 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.79 : 406.66 = 184.33 : x
  2. Step 2: Convert to fraction form
    294.79/406.66 = 184.33/x
  3. Step 3: Cross multiply
    294.79x = 406.66 × 184.33
  4. Step 4: Simplify right side
    294.79x = 74,959.64
  5. Step 5: Solve for x
    x = 74,959.64/294.79
  6. Step 6: Final answer
    x = 254.28

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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.