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Finding the Fourth Proportional to 294.84, 442.44 and 173.34

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Solution

The fourth proportional to 294.84, 442.44 and 173.34 is: 260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 442.44 = 173.34 : x
  2. Step 2: Convert to fraction form
    294.84/442.44 = 173.34/x
  3. Step 3: Cross multiply
    294.84x = 442.44 × 173.34
  4. Step 4: Simplify right side
    294.84x = 76,692.55
  5. Step 5: Solve for x
    x = 76,692.55/294.84
  6. Step 6: Final answer
    x = 260.12

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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.