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Finding the Fourth Proportional to 294.88, 407.02 and 184.30

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Solution

The fourth proportional to 294.88, 407.02 and 184.30 is: 254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 407.02 = 184.30 : x
  2. Step 2: Convert to fraction form
    294.88/407.02 = 184.30/x
  3. Step 3: Cross multiply
    294.88x = 407.02 × 184.30
  4. Step 4: Simplify right side
    294.88x = 75,013.79
  5. Step 5: Solve for x
    x = 75,013.79/294.88
  6. Step 6: Final answer
    x = 254.39

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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.