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Finding the Fourth Proportional to 228.52, 343.02 and 146.35

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Solution

The fourth proportional to 228.52, 343.02 and 146.35 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 343.02 = 146.35 : x
  2. Step 2: Convert to fraction form
    228.52/343.02 = 146.35/x
  3. Step 3: Cross multiply
    228.52x = 343.02 × 146.35
  4. Step 4: Simplify right side
    228.52x = 50,200.98
  5. Step 5: Solve for x
    x = 50,200.98/228.52
  6. Step 6: Final answer
    x = 219.68

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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.