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Finding the Fourth Proportional to 261.41, 360.54 and 206.06

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Solution

The fourth proportional to 261.41, 360.54 and 206.06 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.41 : 360.54 = 206.06 : x
  2. Step 2: Convert to fraction form
    261.41/360.54 = 206.06/x
  3. Step 3: Cross multiply
    261.41x = 360.54 × 206.06
  4. Step 4: Simplify right side
    261.41x = 74,291.07
  5. Step 5: Solve for x
    x = 74,291.07/261.41
  6. Step 6: Final answer
    x = 284.20

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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.