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Finding the Fourth Proportional to 251.63, 377.39 and 97.58

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Solution

The fourth proportional to 251.63, 377.39 and 97.58 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 377.39 = 97.58 : x
  2. Step 2: Convert to fraction form
    251.63/377.39 = 97.58/x
  3. Step 3: Cross multiply
    251.63x = 377.39 × 97.58
  4. Step 4: Simplify right side
    251.63x = 36,823.83
  5. Step 5: Solve for x
    x = 36,823.83/251.63
  6. Step 6: Final answer
    x = 146.34

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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.