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Finding the Fourth Proportional to 264.69, 365.20 and 154.13

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Solution

The fourth proportional to 264.69, 365.20 and 154.13 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 365.20 = 154.13 : x
  2. Step 2: Convert to fraction form
    264.69/365.20 = 154.13/x
  3. Step 3: Cross multiply
    264.69x = 365.20 × 154.13
  4. Step 4: Simplify right side
    264.69x = 56,288.28
  5. Step 5: Solve for x
    x = 56,288.28/264.69
  6. Step 6: Final answer
    x = 212.66

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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.