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Finding the Fourth Proportional to 294.74, 442.33 and 204.07

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Solution

The fourth proportional to 294.74, 442.33 and 204.07 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 442.33 = 204.07 : x
  2. Step 2: Convert to fraction form
    294.74/442.33 = 204.07/x
  3. Step 3: Cross multiply
    294.74x = 442.33 × 204.07
  4. Step 4: Simplify right side
    294.74x = 90,265.69
  5. Step 5: Solve for x
    x = 90,265.69/294.74
  6. Step 6: Final answer
    x = 306.26

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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.