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Finding the Fourth Proportional to 279.76, 419.04 and 225.52

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Solution

The fourth proportional to 279.76, 419.04 and 225.52 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 419.04 = 225.52 : x
  2. Step 2: Convert to fraction form
    279.76/419.04 = 225.52/x
  3. Step 3: Cross multiply
    279.76x = 419.04 × 225.52
  4. Step 4: Simplify right side
    279.76x = 94,501.90
  5. Step 5: Solve for x
    x = 94,501.90/279.76
  6. Step 6: Final answer
    x = 337.80

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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.