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Finding the Fourth Proportional to 440.93, 661.33 and 148.41

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Solution

The fourth proportional to 440.93, 661.33 and 148.41 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.93 : 661.33 = 148.41 : x
  2. Step 2: Convert to fraction form
    440.93/661.33 = 148.41/x
  3. Step 3: Cross multiply
    440.93x = 661.33 × 148.41
  4. Step 4: Simplify right side
    440.93x = 98,147.24
  5. Step 5: Solve for x
    x = 98,147.24/440.93
  6. Step 6: Final answer
    x = 222.59

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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.