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Finding the Fourth Proportional to 264.71, 365.64 and 202.16

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Solution

The fourth proportional to 264.71, 365.64 and 202.16 is: 279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 365.64 = 202.16 : x
  2. Step 2: Convert to fraction form
    264.71/365.64 = 202.16/x
  3. Step 3: Cross multiply
    264.71x = 365.64 × 202.16
  4. Step 4: Simplify right side
    264.71x = 73,917.78
  5. Step 5: Solve for x
    x = 73,917.78/264.71
  6. Step 6: Final answer
    x = 279.24

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Why These Related Problems?

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