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Finding the Fourth Proportional to 440.63, 661.10 and 197.18

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Solution

The fourth proportional to 440.63, 661.10 and 197.18 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.63 : 661.10 = 197.18 : x
  2. Step 2: Convert to fraction form
    440.63/661.10 = 197.18/x
  3. Step 3: Cross multiply
    440.63x = 661.10 × 197.18
  4. Step 4: Simplify right side
    440.63x = 130,355.70
  5. Step 5: Solve for x
    x = 130,355.70/440.63
  6. Step 6: Final answer
    x = 295.84

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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.