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Finding the Fourth Proportional to 257.06, 384.98 and 119.90

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Solution

The fourth proportional to 257.06, 384.98 and 119.90 is: 179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 384.98 = 119.90 : x
  2. Step 2: Convert to fraction form
    257.06/384.98 = 119.90/x
  3. Step 3: Cross multiply
    257.06x = 384.98 × 119.90
  4. Step 4: Simplify right side
    257.06x = 46,156.58
  5. Step 5: Solve for x
    x = 46,156.58/257.06
  6. Step 6: Final answer
    x = 179.56

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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.