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Finding the Fourth Proportional to 180.07, 248.47 and 106.36

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Solution

The fourth proportional to 180.07, 248.47 and 106.36 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 248.47 = 106.36 : x
  2. Step 2: Convert to fraction form
    180.07/248.47 = 106.36/x
  3. Step 3: Cross multiply
    180.07x = 248.47 × 106.36
  4. Step 4: Simplify right side
    180.07x = 26,426.38
  5. Step 5: Solve for x
    x = 26,426.38/180.07
  6. Step 6: Final answer
    x = 146.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.