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Finding the Fourth Proportional to 365.45, 548.07 and 105.47

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Solution

The fourth proportional to 365.45, 548.07 and 105.47 is: 158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.45 : 548.07 = 105.47 : x
  2. Step 2: Convert to fraction form
    365.45/548.07 = 105.47/x
  3. Step 3: Cross multiply
    365.45x = 548.07 × 105.47
  4. Step 4: Simplify right side
    365.45x = 57,803.86
  5. Step 5: Solve for x
    x = 57,803.86/365.45
  6. Step 6: Final answer
    x = 158.17

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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.