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Finding the Fourth Proportional to 303.12, 417.88 and 225.36

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Solution

The fourth proportional to 303.12, 417.88 and 225.36 is: 310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 417.88 = 225.36 : x
  2. Step 2: Convert to fraction form
    303.12/417.88 = 225.36/x
  3. Step 3: Cross multiply
    303.12x = 417.88 × 225.36
  4. Step 4: Simplify right side
    303.12x = 94,173.44
  5. Step 5: Solve for x
    x = 94,173.44/303.12
  6. Step 6: Final answer
    x = 310.68

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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.