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Finding the Fourth Proportional to 235.16, 352.64 and 174.68

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Solution

The fourth proportional to 235.16, 352.64 and 174.68 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 352.64 = 174.68 : x
  2. Step 2: Convert to fraction form
    235.16/352.64 = 174.68/x
  3. Step 3: Cross multiply
    235.16x = 352.64 × 174.68
  4. Step 4: Simplify right side
    235.16x = 61,599.16
  5. Step 5: Solve for x
    x = 61,599.16/235.16
  6. Step 6: Final answer
    x = 261.95

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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.