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Finding the Fourth Proportional to 648.39, 972.57 and 161.44

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Solution

The fourth proportional to 648.39, 972.57 and 161.44 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.39 : 972.57 = 161.44 : x
  2. Step 2: Convert to fraction form
    648.39/972.57 = 161.44/x
  3. Step 3: Cross multiply
    648.39x = 972.57 × 161.44
  4. Step 4: Simplify right side
    648.39x = 157,011.70
  5. Step 5: Solve for x
    x = 157,011.70/648.39
  6. Step 6: Final answer
    x = 242.16

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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.