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Finding the Fourth Proportional to 228.91, 343.08 and 98.77

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Solution

The fourth proportional to 228.91, 343.08 and 98.77 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.91 : 343.08 = 98.77 : x
  2. Step 2: Convert to fraction form
    228.91/343.08 = 98.77/x
  3. Step 3: Cross multiply
    228.91x = 343.08 × 98.77
  4. Step 4: Simplify right side
    228.91x = 33,884.54
  5. Step 5: Solve for x
    x = 33,884.54/228.91
  6. Step 6: Final answer
    x = 148.02

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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.