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Finding the Fourth Proportional to 170.12, 256.23 and 155.32

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Solution

The fourth proportional to 170.12, 256.23 and 155.32 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.12 : 256.23 = 155.32 : x
  2. Step 2: Convert to fraction form
    170.12/256.23 = 155.32/x
  3. Step 3: Cross multiply
    170.12x = 256.23 × 155.32
  4. Step 4: Simplify right side
    170.12x = 39,797.64
  5. Step 5: Solve for x
    x = 39,797.64/170.12
  6. Step 6: Final answer
    x = 233.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.