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Finding the Fourth Proportional to 257.57, 386.19 and 180.11

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Solution

The fourth proportional to 257.57, 386.19 and 180.11 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 386.19 = 180.11 : x
  2. Step 2: Convert to fraction form
    257.57/386.19 = 180.11/x
  3. Step 3: Cross multiply
    257.57x = 386.19 × 180.11
  4. Step 4: Simplify right side
    257.57x = 69,554.75
  5. Step 5: Solve for x
    x = 69,554.75/257.57
  6. Step 6: Final answer
    x = 270.05

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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.