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Finding the Fourth Proportional to 180.65, 270.95 and 65.18

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Solution

The fourth proportional to 180.65, 270.95 and 65.18 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 270.95 = 65.18 : x
  2. Step 2: Convert to fraction form
    180.65/270.95 = 65.18/x
  3. Step 3: Cross multiply
    180.65x = 270.95 × 65.18
  4. Step 4: Simplify right side
    180.65x = 17,659.33
  5. Step 5: Solve for x
    x = 17,659.33/180.65
  6. Step 6: Final answer
    x = 97.75

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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.