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Finding the Fourth Proportional to 294.45, 441.68 and 102.06

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Solution

The fourth proportional to 294.45, 441.68 and 102.06 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 441.68 = 102.06 : x
  2. Step 2: Convert to fraction form
    294.45/441.68 = 102.06/x
  3. Step 3: Cross multiply
    294.45x = 441.68 × 102.06
  4. Step 4: Simplify right side
    294.45x = 45,078.84
  5. Step 5: Solve for x
    x = 45,078.84/294.45
  6. Step 6: Final answer
    x = 153.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.