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Finding the Fourth Proportional to 260.10, 358.32 and 211.14

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Solution

The fourth proportional to 260.10, 358.32 and 211.14 is: 290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 358.32 = 211.14 : x
  2. Step 2: Convert to fraction form
    260.10/358.32 = 211.14/x
  3. Step 3: Cross multiply
    260.10x = 358.32 × 211.14
  4. Step 4: Simplify right side
    260.10x = 75,655.68
  5. Step 5: Solve for x
    x = 75,655.68/260.10
  6. Step 6: Final answer
    x = 290.87

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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.