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Finding the Fourth Proportional to 264.35, 364.85 and 202.06

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Solution

The fourth proportional to 264.35, 364.85 and 202.06 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 364.85 = 202.06 : x
  2. Step 2: Convert to fraction form
    264.35/364.85 = 202.06/x
  3. Step 3: Cross multiply
    264.35x = 364.85 × 202.06
  4. Step 4: Simplify right side
    264.35x = 73,720.58
  5. Step 5: Solve for x
    x = 73,720.58/264.35
  6. Step 6: Final answer
    x = 278.87

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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.