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Finding the Fourth Proportional to 264.30, 364.56 and 202.14

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Solution

The fourth proportional to 264.30, 364.56 and 202.14 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.30 : 364.56 = 202.14 : x
  2. Step 2: Convert to fraction form
    264.30/364.56 = 202.14/x
  3. Step 3: Cross multiply
    264.30x = 364.56 × 202.14
  4. Step 4: Simplify right side
    264.30x = 73,692.16
  5. Step 5: Solve for x
    x = 73,692.16/264.30
  6. Step 6: Final answer
    x = 278.82

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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.