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Finding the Fourth Proportional to 235.16, 352.74 and 133.09

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Solution

The fourth proportional to 235.16, 352.74 and 133.09 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 352.74 = 133.09 : x
  2. Step 2: Convert to fraction form
    235.16/352.74 = 133.09/x
  3. Step 3: Cross multiply
    235.16x = 352.74 × 133.09
  4. Step 4: Simplify right side
    235.16x = 46,946.17
  5. Step 5: Solve for x
    x = 46,946.17/235.16
  6. Step 6: Final answer
    x = 199.64

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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.