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Finding the Fourth Proportional to 264.94, 365.49 and 154.35

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Solution

The fourth proportional to 264.94, 365.49 and 154.35 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 365.49 = 154.35 : x
  2. Step 2: Convert to fraction form
    264.94/365.49 = 154.35/x
  3. Step 3: Cross multiply
    264.94x = 365.49 × 154.35
  4. Step 4: Simplify right side
    264.94x = 56,412.57
  5. Step 5: Solve for x
    x = 56,412.57/264.94
  6. Step 6: Final answer
    x = 212.93

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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.