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Finding the Fourth Proportional to 256.84, 384.45 and 250.36

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Solution

The fourth proportional to 256.84, 384.45 and 250.36 is: 374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 384.45 = 250.36 : x
  2. Step 2: Convert to fraction form
    256.84/384.45 = 250.36/x
  3. Step 3: Cross multiply
    256.84x = 384.45 × 250.36
  4. Step 4: Simplify right side
    256.84x = 96,249.00
  5. Step 5: Solve for x
    x = 96,249.00/256.84
  6. Step 6: Final answer
    x = 374.75

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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.