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Finding the Fourth Proportional to 235.77, 354.41 and 228.48

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Solution

The fourth proportional to 235.77, 354.41 and 228.48 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.77 : 354.41 = 228.48 : x
  2. Step 2: Convert to fraction form
    235.77/354.41 = 228.48/x
  3. Step 3: Cross multiply
    235.77x = 354.41 × 228.48
  4. Step 4: Simplify right side
    235.77x = 80,973.98
  5. Step 5: Solve for x
    x = 80,973.98/235.77
  6. Step 6: Final answer
    x = 343.45

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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.