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Finding the Fourth Proportional to 225.96, 340.17 and 174.89

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Solution

The fourth proportional to 225.96, 340.17 and 174.89 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 340.17 = 174.89 : x
  2. Step 2: Convert to fraction form
    225.96/340.17 = 174.89/x
  3. Step 3: Cross multiply
    225.96x = 340.17 × 174.89
  4. Step 4: Simplify right side
    225.96x = 59,490.63
  5. Step 5: Solve for x
    x = 59,490.63/225.96
  6. Step 6: Final answer
    x = 263.28

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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.