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Finding the Fourth Proportional to 251.24, 346.78 and 177.57

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Solution

The fourth proportional to 251.24, 346.78 and 177.57 is: 245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.24 : 346.78 = 177.57 : x
  2. Step 2: Convert to fraction form
    251.24/346.78 = 177.57/x
  3. Step 3: Cross multiply
    251.24x = 346.78 × 177.57
  4. Step 4: Simplify right side
    251.24x = 61,577.72
  5. Step 5: Solve for x
    x = 61,577.72/251.24
  6. Step 6: Final answer
    x = 245.10

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