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Finding the Fourth Proportional to 265.25, 365.96 and 154.71

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Solution

The fourth proportional to 265.25, 365.96 and 154.71 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 365.96 = 154.71 : x
  2. Step 2: Convert to fraction form
    265.25/365.96 = 154.71/x
  3. Step 3: Cross multiply
    265.25x = 365.96 × 154.71
  4. Step 4: Simplify right side
    265.25x = 56,616.37
  5. Step 5: Solve for x
    x = 56,616.37/265.25
  6. Step 6: Final answer
    x = 213.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.