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Finding the Fourth Proportional to 364.54, 546.84 and 148.24

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Solution

The fourth proportional to 364.54, 546.84 and 148.24 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.54 : 546.84 = 148.24 : x
  2. Step 2: Convert to fraction form
    364.54/546.84 = 148.24/x
  3. Step 3: Cross multiply
    364.54x = 546.84 × 148.24
  4. Step 4: Simplify right side
    364.54x = 81,063.56
  5. Step 5: Solve for x
    x = 81,063.56/364.54
  6. Step 6: Final answer
    x = 222.37

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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.