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Finding the Fourth Proportional to 369.96, 554.64 and 225.63

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Solution

The fourth proportional to 369.96, 554.64 and 225.63 is: 338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 554.64 = 225.63 : x
  2. Step 2: Convert to fraction form
    369.96/554.64 = 225.63/x
  3. Step 3: Cross multiply
    369.96x = 554.64 × 225.63
  4. Step 4: Simplify right side
    369.96x = 125,143.42
  5. Step 5: Solve for x
    x = 125,143.42/369.96
  6. Step 6: Final answer
    x = 338.26

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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.