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Finding the Fourth Proportional to 251.05, 346.50 and 157.87

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Solution

The fourth proportional to 251.05, 346.50 and 157.87 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.05 : 346.50 = 157.87 : x
  2. Step 2: Convert to fraction form
    251.05/346.50 = 157.87/x
  3. Step 3: Cross multiply
    251.05x = 346.50 × 157.87
  4. Step 4: Simplify right side
    251.05x = 54,703.81
  5. Step 5: Solve for x
    x = 54,703.81/251.05
  6. Step 6: Final answer
    x = 217.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.