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Finding the Fourth Proportional to 180.53, 270.63 and 134.14

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Solution

The fourth proportional to 180.53, 270.63 and 134.14 is: 201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 270.63 = 134.14 : x
  2. Step 2: Convert to fraction form
    180.53/270.63 = 134.14/x
  3. Step 3: Cross multiply
    180.53x = 270.63 × 134.14
  4. Step 4: Simplify right side
    180.53x = 36,302.14
  5. Step 5: Solve for x
    x = 36,302.14/180.53
  6. Step 6: Final answer
    x = 201.08

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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.