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Finding the Fourth Proportional to 228.84, 341.77 and 216.42

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Solution

The fourth proportional to 228.84, 341.77 and 216.42 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 341.77 = 216.42 : x
  2. Step 2: Convert to fraction form
    228.84/341.77 = 216.42/x
  3. Step 3: Cross multiply
    228.84x = 341.77 × 216.42
  4. Step 4: Simplify right side
    228.84x = 73,965.86
  5. Step 5: Solve for x
    x = 73,965.86/228.84
  6. Step 6: Final answer
    x = 323.22

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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.