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Finding the Fourth Proportional to 235.28, 352.60 and 174.64

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Solution

The fourth proportional to 235.28, 352.60 and 174.64 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.28 : 352.60 = 174.64 : x
  2. Step 2: Convert to fraction form
    235.28/352.60 = 174.64/x
  3. Step 3: Cross multiply
    235.28x = 352.60 × 174.64
  4. Step 4: Simplify right side
    235.28x = 61,578.06
  5. Step 5: Solve for x
    x = 61,578.06/235.28
  6. Step 6: Final answer
    x = 261.72

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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.