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Finding the Fourth Proportional to 257.02, 385.50 and 120.09

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Solution

The fourth proportional to 257.02, 385.50 and 120.09 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.02 : 385.50 = 120.09 : x
  2. Step 2: Convert to fraction form
    257.02/385.50 = 120.09/x
  3. Step 3: Cross multiply
    257.02x = 385.50 × 120.09
  4. Step 4: Simplify right side
    257.02x = 46,294.70
  5. Step 5: Solve for x
    x = 46,294.70/257.02
  6. Step 6: Final answer
    x = 180.12

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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.