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Finding the Fourth Proportional to 261.66, 360.90 and 206.31

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Solution

The fourth proportional to 261.66, 360.90 and 206.31 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 360.90 = 206.31 : x
  2. Step 2: Convert to fraction form
    261.66/360.90 = 206.31/x
  3. Step 3: Cross multiply
    261.66x = 360.90 × 206.31
  4. Step 4: Simplify right side
    261.66x = 74,457.28
  5. Step 5: Solve for x
    x = 74,457.28/261.66
  6. Step 6: Final answer
    x = 284.56

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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.