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Finding the Fourth Proportional to 261.36, 360.44 and 206.00

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Solution

The fourth proportional to 261.36, 360.44 and 206.00 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 360.44 = 206.00 : x
  2. Step 2: Convert to fraction form
    261.36/360.44 = 206.00/x
  3. Step 3: Cross multiply
    261.36x = 360.44 × 206.00
  4. Step 4: Simplify right side
    261.36x = 74,247.81
  5. Step 5: Solve for x
    x = 74,247.81/261.36
  6. Step 6: Final answer
    x = 284.08

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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.