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Finding the Fourth Proportional to 257.22, 385.55 and 180.22

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Solution

The fourth proportional to 257.22, 385.55 and 180.22 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 385.55 = 180.22 : x
  2. Step 2: Convert to fraction form
    257.22/385.55 = 180.22/x
  3. Step 3: Cross multiply
    257.22x = 385.55 × 180.22
  4. Step 4: Simplify right side
    257.22x = 69,483.82
  5. Step 5: Solve for x
    x = 69,483.82/257.22
  6. Step 6: Final answer
    x = 270.13

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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.