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Finding the Fourth Proportional to 225.10, 337.04 and 170.84

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Solution

The fourth proportional to 225.10, 337.04 and 170.84 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 337.04 = 170.84 : x
  2. Step 2: Convert to fraction form
    225.10/337.04 = 170.84/x
  3. Step 3: Cross multiply
    225.10x = 337.04 × 170.84
  4. Step 4: Simplify right side
    225.10x = 57,579.91
  5. Step 5: Solve for x
    x = 57,579.91/225.10
  6. Step 6: Final answer
    x = 255.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.