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Finding the Fourth Proportional to 256.34, 384.51 and 119.25

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Solution

The fourth proportional to 256.34, 384.51 and 119.25 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 384.51 = 119.25 : x
  2. Step 2: Convert to fraction form
    256.34/384.51 = 119.25/x
  3. Step 3: Cross multiply
    256.34x = 384.51 × 119.25
  4. Step 4: Simplify right side
    256.34x = 45,852.82
  5. Step 5: Solve for x
    x = 45,852.82/256.34
  6. Step 6: Final answer
    x = 178.88

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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.