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Finding the Fourth Proportional to 235.01, 351.78 and 161.97

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Solution

The fourth proportional to 235.01, 351.78 and 161.97 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.01 : 351.78 = 161.97 : x
  2. Step 2: Convert to fraction form
    235.01/351.78 = 161.97/x
  3. Step 3: Cross multiply
    235.01x = 351.78 × 161.97
  4. Step 4: Simplify right side
    235.01x = 56,977.81
  5. Step 5: Solve for x
    x = 56,977.81/235.01
  6. Step 6: Final answer
    x = 242.45

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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.