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Finding the Fourth Proportional to 256.93, 355.05 and 213.19

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Solution

The fourth proportional to 256.93, 355.05 and 213.19 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.93 : 355.05 = 213.19 : x
  2. Step 2: Convert to fraction form
    256.93/355.05 = 213.19/x
  3. Step 3: Cross multiply
    256.93x = 355.05 × 213.19
  4. Step 4: Simplify right side
    256.93x = 75,693.11
  5. Step 5: Solve for x
    x = 75,693.11/256.93
  6. Step 6: Final answer
    x = 294.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.