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Finding the Fourth Proportional to 225.42, 337.86 and 189.24

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Solution

The fourth proportional to 225.42, 337.86 and 189.24 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 337.86 = 189.24 : x
  2. Step 2: Convert to fraction form
    225.42/337.86 = 189.24/x
  3. Step 3: Cross multiply
    225.42x = 337.86 × 189.24
  4. Step 4: Simplify right side
    225.42x = 63,936.63
  5. Step 5: Solve for x
    x = 63,936.63/225.42
  6. Step 6: Final answer
    x = 283.63

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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.