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Finding the Fourth Proportional to 364.60, 546.90 and 148.42

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Solution

The fourth proportional to 364.60, 546.90 and 148.42 is: 222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 546.90 = 148.42 : x
  2. Step 2: Convert to fraction form
    364.60/546.90 = 148.42/x
  3. Step 3: Cross multiply
    364.60x = 546.90 × 148.42
  4. Step 4: Simplify right side
    364.60x = 81,170.90
  5. Step 5: Solve for x
    x = 81,170.90/364.60
  6. Step 6: Final answer
    x = 222.63

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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.