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Finding the Fourth Proportional to 269.32, 404.03 and 96.00

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Solution

The fourth proportional to 269.32, 404.03 and 96.00 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.32 : 404.03 = 96.00 : x
  2. Step 2: Convert to fraction form
    269.32/404.03 = 96.00/x
  3. Step 3: Cross multiply
    269.32x = 404.03 × 96.00
  4. Step 4: Simplify right side
    269.32x = 38,784.38
  5. Step 5: Solve for x
    x = 38,784.38/269.32
  6. Step 6: Final answer
    x = 144.01

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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.