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Finding the Fourth Proportional to 225.41, 310.29 and 170.06

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Solution

The fourth proportional to 225.41, 310.29 and 170.06 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.41 : 310.29 = 170.06 : x
  2. Step 2: Convert to fraction form
    225.41/310.29 = 170.06/x
  3. Step 3: Cross multiply
    225.41x = 310.29 × 170.06
  4. Step 4: Simplify right side
    225.41x = 52,767.92
  5. Step 5: Solve for x
    x = 52,767.92/225.41
  6. Step 6: Final answer
    x = 234.10

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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.