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Finding the Fourth Proportional to 170.52, 235.20 and 133.64

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Solution

The fourth proportional to 170.52, 235.20 and 133.64 is: 184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.52 : 235.20 = 133.64 : x
  2. Step 2: Convert to fraction form
    170.52/235.20 = 133.64/x
  3. Step 3: Cross multiply
    170.52x = 235.20 × 133.64
  4. Step 4: Simplify right side
    170.52x = 31,432.13
  5. Step 5: Solve for x
    x = 31,432.13/170.52
  6. Step 6: Final answer
    x = 184.33

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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.