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Finding the Fourth Proportional to 248.36, 370.78 and 225.68

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Solution

The fourth proportional to 248.36, 370.78 and 225.68 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 370.78 = 225.68 : x
  2. Step 2: Convert to fraction form
    248.36/370.78 = 225.68/x
  3. Step 3: Cross multiply
    248.36x = 370.78 × 225.68
  4. Step 4: Simplify right side
    248.36x = 83,677.63
  5. Step 5: Solve for x
    x = 83,677.63/248.36
  6. Step 6: Final answer
    x = 336.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.