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Finding the Fourth Proportional to 225.24, 310.98 and 176.04

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Solution

The fourth proportional to 225.24, 310.98 and 176.04 is: 243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 310.98 = 176.04 : x
  2. Step 2: Convert to fraction form
    225.24/310.98 = 176.04/x
  3. Step 3: Cross multiply
    225.24x = 310.98 × 176.04
  4. Step 4: Simplify right side
    225.24x = 54,744.92
  5. Step 5: Solve for x
    x = 54,744.92/225.24
  6. Step 6: Final answer
    x = 243.05

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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.