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Finding the Fourth Proportional to 251.04, 376.54 and 97.04

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Solution

The fourth proportional to 251.04, 376.54 and 97.04 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.04 : 376.54 = 97.04 : x
  2. Step 2: Convert to fraction form
    251.04/376.54 = 97.04/x
  3. Step 3: Cross multiply
    251.04x = 376.54 × 97.04
  4. Step 4: Simplify right side
    251.04x = 36,539.44
  5. Step 5: Solve for x
    x = 36,539.44/251.04
  6. Step 6: Final answer
    x = 145.55

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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.