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Finding the Fourth Proportional to 170.16, 234.84 and 117.78

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Solution

The fourth proportional to 170.16, 234.84 and 117.78 is: 162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 234.84 = 117.78 : x
  2. Step 2: Convert to fraction form
    170.16/234.84 = 117.78/x
  3. Step 3: Cross multiply
    170.16x = 234.84 × 117.78
  4. Step 4: Simplify right side
    170.16x = 27,659.46
  5. Step 5: Solve for x
    x = 27,659.46/170.16
  6. Step 6: Final answer
    x = 162.55

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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.