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Finding the Fourth Proportional to 149.58, 225.47 and 141.66

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Solution

The fourth proportional to 149.58, 225.47 and 141.66 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.58 : 225.47 = 141.66 : x
  2. Step 2: Convert to fraction form
    149.58/225.47 = 141.66/x
  3. Step 3: Cross multiply
    149.58x = 225.47 × 141.66
  4. Step 4: Simplify right side
    149.58x = 31,939.37
  5. Step 5: Solve for x
    x = 31,939.37/149.58
  6. Step 6: Final answer
    x = 213.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.