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Finding the Fourth Proportional to 294.96, 442.46 and 78.54

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Solution

The fourth proportional to 294.96, 442.46 and 78.54 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 442.46 = 78.54 : x
  2. Step 2: Convert to fraction form
    294.96/442.46 = 78.54/x
  3. Step 3: Cross multiply
    294.96x = 442.46 × 78.54
  4. Step 4: Simplify right side
    294.96x = 34,750.81
  5. Step 5: Solve for x
    x = 34,750.81/294.96
  6. Step 6: Final answer
    x = 117.82

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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.