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Finding the Fourth Proportional to 295.34, 442.94 and 214.22

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Solution

The fourth proportional to 295.34, 442.94 and 214.22 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 442.94 = 214.22 : x
  2. Step 2: Convert to fraction form
    295.34/442.94 = 214.22/x
  3. Step 3: Cross multiply
    295.34x = 442.94 × 214.22
  4. Step 4: Simplify right side
    295.34x = 94,884.93
  5. Step 5: Solve for x
    x = 94,884.93/295.34
  6. Step 6: Final answer
    x = 321.28

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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.