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Finding the Fourth Proportional to 235.67, 352.93 and 144.16

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Solution

The fourth proportional to 235.67, 352.93 and 144.16 is: 215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 352.93 = 144.16 : x
  2. Step 2: Convert to fraction form
    235.67/352.93 = 144.16/x
  3. Step 3: Cross multiply
    235.67x = 352.93 × 144.16
  4. Step 4: Simplify right side
    235.67x = 50,878.39
  5. Step 5: Solve for x
    x = 50,878.39/235.67
  6. Step 6: Final answer
    x = 215.89

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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.