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Finding the Fourth Proportional to 225.04, 310.72 and 173.20

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Solution

The fourth proportional to 225.04, 310.72 and 173.20 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.04 : 310.72 = 173.20 : x
  2. Step 2: Convert to fraction form
    225.04/310.72 = 173.20/x
  3. Step 3: Cross multiply
    225.04x = 310.72 × 173.20
  4. Step 4: Simplify right side
    225.04x = 53,816.70
  5. Step 5: Solve for x
    x = 53,816.70/225.04
  6. Step 6: Final answer
    x = 239.14

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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.