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Finding the Fourth Proportional to 254.16, 349.44 and 229.08

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Solution

The fourth proportional to 254.16, 349.44 and 229.08 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 349.44 = 229.08 : x
  2. Step 2: Convert to fraction form
    254.16/349.44 = 229.08/x
  3. Step 3: Cross multiply
    254.16x = 349.44 × 229.08
  4. Step 4: Simplify right side
    254.16x = 80,049.72
  5. Step 5: Solve for x
    x = 80,049.72/254.16
  6. Step 6: Final answer
    x = 314.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.