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Finding the Fourth Proportional to 402.16, 554.95 and 225.12

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Solution

The fourth proportional to 402.16, 554.95 and 225.12 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 554.95 = 225.12 : x
  2. Step 2: Convert to fraction form
    402.16/554.95 = 225.12/x
  3. Step 3: Cross multiply
    402.16x = 554.95 × 225.12
  4. Step 4: Simplify right side
    402.16x = 124,930.34
  5. Step 5: Solve for x
    x = 124,930.34/402.16
  6. Step 6: Final answer
    x = 310.65

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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.