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Finding the Fourth Proportional to 149.23, 223.85 and 46.51

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Solution

The fourth proportional to 149.23, 223.85 and 46.51 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.23 : 223.85 = 46.51 : x
  2. Step 2: Convert to fraction form
    149.23/223.85 = 46.51/x
  3. Step 3: Cross multiply
    149.23x = 223.85 × 46.51
  4. Step 4: Simplify right side
    149.23x = 10,411.26
  5. Step 5: Solve for x
    x = 10,411.26/149.23
  6. Step 6: Final answer
    x = 69.77

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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.