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Finding the Fourth Proportional to 264.96, 365.61 and 202.63

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Solution

The fourth proportional to 264.96, 365.61 and 202.63 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 365.61 = 202.63 : x
  2. Step 2: Convert to fraction form
    264.96/365.61 = 202.63/x
  3. Step 3: Cross multiply
    264.96x = 365.61 × 202.63
  4. Step 4: Simplify right side
    264.96x = 74,083.55
  5. Step 5: Solve for x
    x = 74,083.55/264.96
  6. Step 6: Final answer
    x = 279.60

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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.