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Finding the Fourth Proportional to 270.29, 405.64 and 96.96

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Solution

The fourth proportional to 270.29, 405.64 and 96.96 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.29 : 405.64 = 96.96 : x
  2. Step 2: Convert to fraction form
    270.29/405.64 = 96.96/x
  3. Step 3: Cross multiply
    270.29x = 405.64 × 96.96
  4. Step 4: Simplify right side
    270.29x = 39,330.37
  5. Step 5: Solve for x
    x = 39,330.37/270.29
  6. Step 6: Final answer
    x = 145.51

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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.