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Finding the Fourth Proportional to 259.77, 358.56 and 204.76

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Solution

The fourth proportional to 259.77, 358.56 and 204.76 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.77 : 358.56 = 204.76 : x
  2. Step 2: Convert to fraction form
    259.77/358.56 = 204.76/x
  3. Step 3: Cross multiply
    259.77x = 358.56 × 204.76
  4. Step 4: Simplify right side
    259.77x = 73,419.19
  5. Step 5: Solve for x
    x = 73,419.19/259.77
  6. Step 6: Final answer
    x = 282.63

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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.