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Finding the Fourth Proportional to 405.52, 608.26 and 149

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Solution

The fourth proportional to 405.52, 608.26 and 149 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 608.26 = 149 : x
  2. Step 2: Convert to fraction form
    405.52/608.26 = 149/x
  3. Step 3: Cross multiply
    405.52x = 608.26 × 149
  4. Step 4: Simplify right side
    405.52x = 90,630.74
  5. Step 5: Solve for x
    x = 90,630.74/405.52
  6. Step 6: Final answer
    x = 223.49

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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.