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Finding the Fourth Proportional to 251.70, 377.46 and 97.64

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Solution

The fourth proportional to 251.70, 377.46 and 97.64 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 377.46 = 97.64 : x
  2. Step 2: Convert to fraction form
    251.70/377.46 = 97.64/x
  3. Step 3: Cross multiply
    251.70x = 377.46 × 97.64
  4. Step 4: Simplify right side
    251.70x = 36,855.19
  5. Step 5: Solve for x
    x = 36,855.19/251.70
  6. Step 6: Final answer
    x = 146.43

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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.