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Finding the Fourth Proportional to 170.19, 234.23 and 135.10

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Solution

The fourth proportional to 170.19, 234.23 and 135.10 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.19 : 234.23 = 135.10 : x
  2. Step 2: Convert to fraction form
    170.19/234.23 = 135.10/x
  3. Step 3: Cross multiply
    170.19x = 234.23 × 135.10
  4. Step 4: Simplify right side
    170.19x = 31,644.09
  5. Step 5: Solve for x
    x = 31,644.09/170.19
  6. Step 6: Final answer
    x = 185.93

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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.