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Finding the Fourth Proportional to 365.76, 548.64 and 91.86

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Solution

The fourth proportional to 365.76, 548.64 and 91.86 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 548.64 = 91.86 : x
  2. Step 2: Convert to fraction form
    365.76/548.64 = 91.86/x
  3. Step 3: Cross multiply
    365.76x = 548.64 × 91.86
  4. Step 4: Simplify right side
    365.76x = 50,398.07
  5. Step 5: Solve for x
    x = 50,398.07/365.76
  6. Step 6: Final answer
    x = 137.79

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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.