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Finding the Fourth Proportional to 228.84, 343.35 and 147.84

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Solution

The fourth proportional to 228.84, 343.35 and 147.84 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 343.35 = 147.84 : x
  2. Step 2: Convert to fraction form
    228.84/343.35 = 147.84/x
  3. Step 3: Cross multiply
    228.84x = 343.35 × 147.84
  4. Step 4: Simplify right side
    228.84x = 50,760.86
  5. Step 5: Solve for x
    x = 50,760.86/228.84
  6. Step 6: Final answer
    x = 221.82

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Why These Related Problems?

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