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Finding the Fourth Proportional to 180.16, 269.54 and 103.16

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Solution

The fourth proportional to 180.16, 269.54 and 103.16 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 269.54 = 103.16 : x
  2. Step 2: Convert to fraction form
    180.16/269.54 = 103.16/x
  3. Step 3: Cross multiply
    180.16x = 269.54 × 103.16
  4. Step 4: Simplify right side
    180.16x = 27,804.40
  5. Step 5: Solve for x
    x = 27,804.40/180.16
  6. Step 6: Final answer
    x = 154.34

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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.