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Finding the Fourth Proportional to 264.20, 364.57 and 202.07

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Solution

The fourth proportional to 264.20, 364.57 and 202.07 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 364.57 = 202.07 : x
  2. Step 2: Convert to fraction form
    264.20/364.57 = 202.07/x
  3. Step 3: Cross multiply
    264.20x = 364.57 × 202.07
  4. Step 4: Simplify right side
    264.20x = 73,668.66
  5. Step 5: Solve for x
    x = 73,668.66/264.20
  6. Step 6: Final answer
    x = 278.84

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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.