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Finding the Fourth Proportional to 235.66, 353.16 and 113.74

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Solution

The fourth proportional to 235.66, 353.16 and 113.74 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 353.16 = 113.74 : x
  2. Step 2: Convert to fraction form
    235.66/353.16 = 113.74/x
  3. Step 3: Cross multiply
    235.66x = 353.16 × 113.74
  4. Step 4: Simplify right side
    235.66x = 40,168.42
  5. Step 5: Solve for x
    x = 40,168.42/235.66
  6. Step 6: Final answer
    x = 170.45

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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.