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Finding the Fourth Proportional to 262.55, 394.06 and 214.35

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Solution

The fourth proportional to 262.55, 394.06 and 214.35 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.55 : 394.06 = 214.35 : x
  2. Step 2: Convert to fraction form
    262.55/394.06 = 214.35/x
  3. Step 3: Cross multiply
    262.55x = 394.06 × 214.35
  4. Step 4: Simplify right side
    262.55x = 84,466.76
  5. Step 5: Solve for x
    x = 84,466.76/262.55
  6. Step 6: Final answer
    x = 321.72

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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.