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Finding the Fourth Proportional to 251.42, 346.99 and 146.54

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Solution

The fourth proportional to 251.42, 346.99 and 146.54 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.42 : 346.99 = 146.54 : x
  2. Step 2: Convert to fraction form
    251.42/346.99 = 146.54/x
  3. Step 3: Cross multiply
    251.42x = 346.99 × 146.54
  4. Step 4: Simplify right side
    251.42x = 50,848.90
  5. Step 5: Solve for x
    x = 50,848.90/251.42
  6. Step 6: Final answer
    x = 202.25

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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.