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Finding the Fourth Proportional to 228.76, 343.18 and 100.60

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Solution

The fourth proportional to 228.76, 343.18 and 100.60 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 343.18 = 100.60 : x
  2. Step 2: Convert to fraction form
    228.76/343.18 = 100.60/x
  3. Step 3: Cross multiply
    228.76x = 343.18 × 100.60
  4. Step 4: Simplify right side
    228.76x = 34,523.91
  5. Step 5: Solve for x
    x = 34,523.91/228.76
  6. Step 6: Final answer
    x = 150.92

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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.