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Finding the Fourth Proportional to 180.30, 270.53 and 140.07

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Solution

The fourth proportional to 180.30, 270.53 and 140.07 is: 210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 270.53 = 140.07 : x
  2. Step 2: Convert to fraction form
    180.30/270.53 = 140.07/x
  3. Step 3: Cross multiply
    180.30x = 270.53 × 140.07
  4. Step 4: Simplify right side
    180.30x = 37,893.14
  5. Step 5: Solve for x
    x = 37,893.14/180.30
  6. Step 6: Final answer
    x = 210.17

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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.