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Finding the Fourth Proportional to 251.84, 377.64 and 97.65

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Solution

The fourth proportional to 251.84, 377.64 and 97.65 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 377.64 = 97.65 : x
  2. Step 2: Convert to fraction form
    251.84/377.64 = 97.65/x
  3. Step 3: Cross multiply
    251.84x = 377.64 × 97.65
  4. Step 4: Simplify right side
    251.84x = 36,876.06
  5. Step 5: Solve for x
    x = 36,876.06/251.84
  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.