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Finding the Fourth Proportional to 256.65, 384.86 and 119.76

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Solution

The fourth proportional to 256.65, 384.86 and 119.76 is: 179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 384.86 = 119.76 : x
  2. Step 2: Convert to fraction form
    256.65/384.86 = 119.76/x
  3. Step 3: Cross multiply
    256.65x = 384.86 × 119.76
  4. Step 4: Simplify right side
    256.65x = 46,090.23
  5. Step 5: Solve for x
    x = 46,090.23/256.65
  6. Step 6: Final answer
    x = 179.58

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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.