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Finding the Fourth Proportional to 261.64, 360.82 and 202.44

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Solution

The fourth proportional to 261.64, 360.82 and 202.44 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 360.82 = 202.44 : x
  2. Step 2: Convert to fraction form
    261.64/360.82 = 202.44/x
  3. Step 3: Cross multiply
    261.64x = 360.82 × 202.44
  4. Step 4: Simplify right side
    261.64x = 73,043.47
  5. Step 5: Solve for x
    x = 73,043.47/261.64
  6. Step 6: Final answer
    x = 279.18

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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.