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Finding the Fourth Proportional to 251.37, 346.90 and 146.53

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Solution

The fourth proportional to 251.37, 346.90 and 146.53 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.37 : 346.90 = 146.53 : x
  2. Step 2: Convert to fraction form
    251.37/346.90 = 146.53/x
  3. Step 3: Cross multiply
    251.37x = 346.90 × 146.53
  4. Step 4: Simplify right side
    251.37x = 50,830.14
  5. Step 5: Solve for x
    x = 50,830.14/251.37
  6. Step 6: Final answer
    x = 202.21

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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.