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Finding the Fourth Proportional to 270.96, 405.90 and 256.68

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Solution

The fourth proportional to 270.96, 405.90 and 256.68 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.96 : 405.90 = 256.68 : x
  2. Step 2: Convert to fraction form
    270.96/405.90 = 256.68/x
  3. Step 3: Cross multiply
    270.96x = 405.90 × 256.68
  4. Step 4: Simplify right side
    270.96x = 104,186.41
  5. Step 5: Solve for x
    x = 104,186.41/270.96
  6. Step 6: Final answer
    x = 384.51

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Why These Related Problems?

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