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Finding the Fourth Proportional to 256.16, 384.14 and 119.07

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Solution

The fourth proportional to 256.16, 384.14 and 119.07 is: 178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 384.14 = 119.07 : x
  2. Step 2: Convert to fraction form
    256.16/384.14 = 119.07/x
  3. Step 3: Cross multiply
    256.16x = 384.14 × 119.07
  4. Step 4: Simplify right side
    256.16x = 45,739.85
  5. Step 5: Solve for x
    x = 45,739.85/256.16
  6. Step 6: Final answer
    x = 178.56

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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.