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Finding the Fourth Proportional to 256.89, 384.93 and 119.91

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Solution

The fourth proportional to 256.89, 384.93 and 119.91 is: 179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.89 : 384.93 = 119.91 : x
  2. Step 2: Convert to fraction form
    256.89/384.93 = 119.91/x
  3. Step 3: Cross multiply
    256.89x = 384.93 × 119.91
  4. Step 4: Simplify right side
    256.89x = 46,156.96
  5. Step 5: Solve for x
    x = 46,156.96/256.89
  6. Step 6: Final answer
    x = 179.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.