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Finding the Fourth Proportional to 270.27, 405.41 and 87.69

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Solution

The fourth proportional to 270.27, 405.41 and 87.69 is: 131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 405.41 = 87.69 : x
  2. Step 2: Convert to fraction form
    270.27/405.41 = 87.69/x
  3. Step 3: Cross multiply
    270.27x = 405.41 × 87.69
  4. Step 4: Simplify right side
    270.27x = 35,547.94
  5. Step 5: Solve for x
    x = 35,547.94/270.27
  6. Step 6: Final answer
    x = 131.53

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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.