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Finding the Fourth Proportional to 225.12, 337.86 and 193.08

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Solution

The fourth proportional to 225.12, 337.86 and 193.08 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 337.86 = 193.08 : x
  2. Step 2: Convert to fraction form
    225.12/337.86 = 193.08/x
  3. Step 3: Cross multiply
    225.12x = 337.86 × 193.08
  4. Step 4: Simplify right side
    225.12x = 65,234.01
  5. Step 5: Solve for x
    x = 65,234.01/225.12
  6. Step 6: Final answer
    x = 289.77

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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.