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Finding the Fourth Proportional to 365.42, 547.82 and 149.15

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Solution

The fourth proportional to 365.42, 547.82 and 149.15 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 547.82 = 149.15 : x
  2. Step 2: Convert to fraction form
    365.42/547.82 = 149.15/x
  3. Step 3: Cross multiply
    365.42x = 547.82 × 149.15
  4. Step 4: Simplify right side
    365.42x = 81,707.35
  5. Step 5: Solve for x
    x = 81,707.35/365.42
  6. Step 6: Final answer
    x = 223.60

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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.