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Finding the Fourth Proportional to 235.77, 324.84 and 170.16

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Solution

The fourth proportional to 235.77, 324.84 and 170.16 is: 234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.77 : 324.84 = 170.16 : x
  2. Step 2: Convert to fraction form
    235.77/324.84 = 170.16/x
  3. Step 3: Cross multiply
    235.77x = 324.84 × 170.16
  4. Step 4: Simplify right side
    235.77x = 55,274.77
  5. Step 5: Solve for x
    x = 55,274.77/235.77
  6. Step 6: Final answer
    x = 234.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.