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Finding the Fourth Proportional to 295.30, 442.35 and 222.94

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Solution

The fourth proportional to 295.30, 442.35 and 222.94 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 442.35 = 222.94 : x
  2. Step 2: Convert to fraction form
    295.30/442.35 = 222.94/x
  3. Step 3: Cross multiply
    295.30x = 442.35 × 222.94
  4. Step 4: Simplify right side
    295.30x = 98,617.51
  5. Step 5: Solve for x
    x = 98,617.51/295.30
  6. Step 6: Final answer
    x = 333.96

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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.