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Finding the Fourth Proportional to 264.79, 364.87 and 202.62

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Solution

The fourth proportional to 264.79, 364.87 and 202.62 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.79 : 364.87 = 202.62 : x
  2. Step 2: Convert to fraction form
    264.79/364.87 = 202.62/x
  3. Step 3: Cross multiply
    264.79x = 364.87 × 202.62
  4. Step 4: Simplify right side
    264.79x = 73,929.96
  5. Step 5: Solve for x
    x = 73,929.96/264.79
  6. Step 6: Final answer
    x = 279.20

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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.