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Finding the Fourth Proportional to 269.64, 405.54 and 229.14

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Solution

The fourth proportional to 269.64, 405.54 and 229.14 is: 344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 405.54 = 229.14 : x
  2. Step 2: Convert to fraction form
    269.64/405.54 = 229.14/x
  3. Step 3: Cross multiply
    269.64x = 405.54 × 229.14
  4. Step 4: Simplify right side
    269.64x = 92,925.44
  5. Step 5: Solve for x
    x = 92,925.44/269.64
  6. Step 6: Final answer
    x = 344.63

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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.