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Finding the Fourth Proportional to 256.94, 384.90 and 235.94

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Solution

The fourth proportional to 256.94, 384.90 and 235.94 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.94 : 384.90 = 235.94 : x
  2. Step 2: Convert to fraction form
    256.94/384.90 = 235.94/x
  3. Step 3: Cross multiply
    256.94x = 384.90 × 235.94
  4. Step 4: Simplify right side
    256.94x = 90,813.31
  5. Step 5: Solve for x
    x = 90,813.31/256.94
  6. Step 6: Final answer
    x = 353.44

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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.