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Finding the Fourth Proportional to 256.04, 383.78 and 178.96

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Solution

The fourth proportional to 256.04, 383.78 and 178.96 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 383.78 = 178.96 : x
  2. Step 2: Convert to fraction form
    256.04/383.78 = 178.96/x
  3. Step 3: Cross multiply
    256.04x = 383.78 × 178.96
  4. Step 4: Simplify right side
    256.04x = 68,681.27
  5. Step 5: Solve for x
    x = 68,681.27/256.04
  6. Step 6: Final answer
    x = 268.24

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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.