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Finding the Fourth Proportional to 294.75, 442.04 and 180

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Solution

The fourth proportional to 294.75, 442.04 and 180 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.75 : 442.04 = 180 : x
  2. Step 2: Convert to fraction form
    294.75/442.04 = 180/x
  3. Step 3: Cross multiply
    294.75x = 442.04 × 180
  4. Step 4: Simplify right side
    294.75x = 79,566.30
  5. Step 5: Solve for x
    x = 79,566.30/294.75
  6. Step 6: Final answer
    x = 269.95

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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.