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Finding the Fourth Proportional to 259.70, 358.65 and 205.02

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Solution

The fourth proportional to 259.70, 358.65 and 205.02 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.70 : 358.65 = 205.02 : x
  2. Step 2: Convert to fraction form
    259.70/358.65 = 205.02/x
  3. Step 3: Cross multiply
    259.70x = 358.65 × 205.02
  4. Step 4: Simplify right side
    259.70x = 73,530.42
  5. Step 5: Solve for x
    x = 73,530.42/259.70
  6. Step 6: Final answer
    x = 283.14

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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.