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Finding the Fourth Proportional to 228.76, 343.32 and 120.58

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Solution

The fourth proportional to 228.76, 343.32 and 120.58 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 343.32 = 120.58 : x
  2. Step 2: Convert to fraction form
    228.76/343.32 = 120.58/x
  3. Step 3: Cross multiply
    228.76x = 343.32 × 120.58
  4. Step 4: Simplify right side
    228.76x = 41,397.53
  5. Step 5: Solve for x
    x = 41,397.53/228.76
  6. Step 6: Final answer
    x = 180.96

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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.