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Finding the Fourth Proportional to 294.84, 442.26 and 78.42

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Solution

The fourth proportional to 294.84, 442.26 and 78.42 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 442.26 = 78.42 : x
  2. Step 2: Convert to fraction form
    294.84/442.26 = 78.42/x
  3. Step 3: Cross multiply
    294.84x = 442.26 × 78.42
  4. Step 4: Simplify right side
    294.84x = 34,682.03
  5. Step 5: Solve for x
    x = 34,682.03/294.84
  6. Step 6: Final answer
    x = 117.63

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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.