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Finding the Fourth Proportional to 251.12, 346.58 and 146.21

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Solution

The fourth proportional to 251.12, 346.58 and 146.21 is: 201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.12 : 346.58 = 146.21 : x
  2. Step 2: Convert to fraction form
    251.12/346.58 = 146.21/x
  3. Step 3: Cross multiply
    251.12x = 346.58 × 146.21
  4. Step 4: Simplify right side
    251.12x = 50,674.89
  5. Step 5: Solve for x
    x = 50,674.89/251.12
  6. Step 6: Final answer
    x = 201.79

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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.