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Finding the Fourth Proportional to 235.68, 352.80 and 142.89

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Solution

The fourth proportional to 235.68, 352.80 and 142.89 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 352.80 = 142.89 : x
  2. Step 2: Convert to fraction form
    235.68/352.80 = 142.89/x
  3. Step 3: Cross multiply
    235.68x = 352.80 × 142.89
  4. Step 4: Simplify right side
    235.68x = 50,409.11
  5. Step 5: Solve for x
    x = 50,409.11/235.68
  6. Step 6: Final answer
    x = 213.89

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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.