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Finding the Fourth Proportional to 248.43, 342.37 and 178.37

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Solution

The fourth proportional to 248.43, 342.37 and 178.37 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.43 : 342.37 = 178.37 : x
  2. Step 2: Convert to fraction form
    248.43/342.37 = 178.37/x
  3. Step 3: Cross multiply
    248.43x = 342.37 × 178.37
  4. Step 4: Simplify right side
    248.43x = 61,068.95
  5. Step 5: Solve for x
    x = 61,068.95/248.43
  6. Step 6: Final answer
    x = 245.82

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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.