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Finding the Fourth Proportional to 294.66, 442.17 and 157.82

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Solution

The fourth proportional to 294.66, 442.17 and 157.82 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 442.17 = 157.82 : x
  2. Step 2: Convert to fraction form
    294.66/442.17 = 157.82/x
  3. Step 3: Cross multiply
    294.66x = 442.17 × 157.82
  4. Step 4: Simplify right side
    294.66x = 69,783.27
  5. Step 5: Solve for x
    x = 69,783.27/294.66
  6. Step 6: Final answer
    x = 236.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.