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Finding the Fourth Proportional to 180.48, 270.51 and 103.50

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Solution

The fourth proportional to 180.48, 270.51 and 103.50 is: 155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 270.51 = 103.50 : x
  2. Step 2: Convert to fraction form
    180.48/270.51 = 103.50/x
  3. Step 3: Cross multiply
    180.48x = 270.51 × 103.50
  4. Step 4: Simplify right side
    180.48x = 27,995.91
  5. Step 5: Solve for x
    x = 27,995.91/180.48
  6. Step 6: Final answer
    x = 155.12

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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.