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Finding the Fourth Proportional to 269.64, 403.80 and 125.40

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Solution

The fourth proportional to 269.64, 403.80 and 125.40 is: 187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 403.80 = 125.40 : x
  2. Step 2: Convert to fraction form
    269.64/403.80 = 125.40/x
  3. Step 3: Cross multiply
    269.64x = 403.80 × 125.40
  4. Step 4: Simplify right side
    269.64x = 50,636.52
  5. Step 5: Solve for x
    x = 50,636.52/269.64
  6. Step 6: Final answer
    x = 187.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.