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Finding the Fourth Proportional to 648.16, 972.25 and 161.22

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Solution

The fourth proportional to 648.16, 972.25 and 161.22 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 972.25 = 161.22 : x
  2. Step 2: Convert to fraction form
    648.16/972.25 = 161.22/x
  3. Step 3: Cross multiply
    648.16x = 972.25 × 161.22
  4. Step 4: Simplify right side
    648.16x = 156,742.09
  5. Step 5: Solve for x
    x = 156,742.09/648.16
  6. Step 6: Final answer
    x = 241.82

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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.