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Finding the Fourth Proportional to 251.32, 377.04 and 97.26

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Solution

The fourth proportional to 251.32, 377.04 and 97.26 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.32 : 377.04 = 97.26 : x
  2. Step 2: Convert to fraction form
    251.32/377.04 = 97.26/x
  3. Step 3: Cross multiply
    251.32x = 377.04 × 97.26
  4. Step 4: Simplify right side
    251.32x = 36,669.03
  5. Step 5: Solve for x
    x = 36,669.03/251.32
  6. Step 6: Final answer
    x = 145.91

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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.