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Finding the Fourth Proportional to 180.77, 270.95 and 160.52

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Solution

The fourth proportional to 180.77, 270.95 and 160.52 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 270.95 = 160.52 : x
  2. Step 2: Convert to fraction form
    180.77/270.95 = 160.52/x
  3. Step 3: Cross multiply
    180.77x = 270.95 × 160.52
  4. Step 4: Simplify right side
    180.77x = 43,492.09
  5. Step 5: Solve for x
    x = 43,492.09/180.77
  6. Step 6: Final answer
    x = 240.59

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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.