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Finding the Fourth Proportional to 180.35, 270.45 and 93.66

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Solution

The fourth proportional to 180.35, 270.45 and 93.66 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 270.45 = 93.66 : x
  2. Step 2: Convert to fraction form
    180.35/270.45 = 93.66/x
  3. Step 3: Cross multiply
    180.35x = 270.45 × 93.66
  4. Step 4: Simplify right side
    180.35x = 25,330.35
  5. Step 5: Solve for x
    x = 25,330.35/180.35
  6. Step 6: Final answer
    x = 140.45

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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.