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Finding the Fourth Proportional to 250.08, 375.04 and 214.40

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Solution

The fourth proportional to 250.08, 375.04 and 214.40 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.08 : 375.04 = 214.40 : x
  2. Step 2: Convert to fraction form
    250.08/375.04 = 214.40/x
  3. Step 3: Cross multiply
    250.08x = 375.04 × 214.40
  4. Step 4: Simplify right side
    250.08x = 80,408.58
  5. Step 5: Solve for x
    x = 80,408.58/250.08
  6. Step 6: Final answer
    x = 321.53

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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.