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Finding the Fourth Proportional to 253.35, 380.21 and 228.87

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Solution

The fourth proportional to 253.35, 380.21 and 228.87 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.35 : 380.21 = 228.87 : x
  2. Step 2: Convert to fraction form
    253.35/380.21 = 228.87/x
  3. Step 3: Cross multiply
    253.35x = 380.21 × 228.87
  4. Step 4: Simplify right side
    253.35x = 87,017.52
  5. Step 5: Solve for x
    x = 87,017.52/253.35
  6. Step 6: Final answer
    x = 343.47

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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.