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Finding the Fourth Proportional to 256.15, 383.71 and 119.00

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Solution

The fourth proportional to 256.15, 383.71 and 119.00 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.15 : 383.71 = 119.00 : x
  2. Step 2: Convert to fraction form
    256.15/383.71 = 119.00/x
  3. Step 3: Cross multiply
    256.15x = 383.71 × 119.00
  4. Step 4: Simplify right side
    256.15x = 45,662.15
  5. Step 5: Solve for x
    x = 45,662.15/256.15
  6. Step 6: Final answer
    x = 178.27

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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.