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Finding the Fourth Proportional to 180.06, 269.16 and 133.89

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Solution

The fourth proportional to 180.06, 269.16 and 133.89 is: 200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.06 : 269.16 = 133.89 : x
  2. Step 2: Convert to fraction form
    180.06/269.16 = 133.89/x
  3. Step 3: Cross multiply
    180.06x = 269.16 × 133.89
  4. Step 4: Simplify right side
    180.06x = 36,036.32
  5. Step 5: Solve for x
    x = 36,036.32/180.06
  6. Step 6: Final answer
    x = 200.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.