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Finding the Fourth Proportional to 375.60, 518.40 and 226.23

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Solution

The fourth proportional to 375.60, 518.40 and 226.23 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 518.40 = 226.23 : x
  2. Step 2: Convert to fraction form
    375.60/518.40 = 226.23/x
  3. Step 3: Cross multiply
    375.60x = 518.40 × 226.23
  4. Step 4: Simplify right side
    375.60x = 117,277.63
  5. Step 5: Solve for x
    x = 117,277.63/375.60
  6. Step 6: Final answer
    x = 312.24

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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.