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Finding the Fourth Proportional to 245.76, 368.34 and 216.81

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Solution

The fourth proportional to 245.76, 368.34 and 216.81 is: 324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 368.34 = 216.81 : x
  2. Step 2: Convert to fraction form
    245.76/368.34 = 216.81/x
  3. Step 3: Cross multiply
    245.76x = 368.34 × 216.81
  4. Step 4: Simplify right side
    245.76x = 79,859.80
  5. Step 5: Solve for x
    x = 79,859.80/245.76
  6. Step 6: Final answer
    x = 324.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.