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Finding the Fourth Proportional to 251.43, 377.06 and 97.34

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Solution

The fourth proportional to 251.43, 377.06 and 97.34 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.43 : 377.06 = 97.34 : x
  2. Step 2: Convert to fraction form
    251.43/377.06 = 97.34/x
  3. Step 3: Cross multiply
    251.43x = 377.06 × 97.34
  4. Step 4: Simplify right side
    251.43x = 36,703.02
  5. Step 5: Solve for x
    x = 36,703.02/251.43
  6. Step 6: Final answer
    x = 145.98

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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.