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Finding the Fourth Proportional to 402.12, 554.90 and 225.06

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Solution

The fourth proportional to 402.12, 554.90 and 225.06 is: 310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 554.90 = 225.06 : x
  2. Step 2: Convert to fraction form
    402.12/554.90 = 225.06/x
  3. Step 3: Cross multiply
    402.12x = 554.90 × 225.06
  4. Step 4: Simplify right side
    402.12x = 124,885.79
  5. Step 5: Solve for x
    x = 124,885.79/402.12
  6. Step 6: Final answer
    x = 310.57

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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.