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Finding the Fourth Proportional to 251.40, 346.50 and 177.48

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Solution

The fourth proportional to 251.40, 346.50 and 177.48 is: 244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 346.50 = 177.48 : x
  2. Step 2: Convert to fraction form
    251.40/346.50 = 177.48/x
  3. Step 3: Cross multiply
    251.40x = 346.50 × 177.48
  4. Step 4: Simplify right side
    251.40x = 61,496.82
  5. Step 5: Solve for x
    x = 61,496.82/251.40
  6. Step 6: Final answer
    x = 244.62

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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.