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Finding the Fourth Proportional to 260.20, 358.80 and 210.35

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Solution

The fourth proportional to 260.20, 358.80 and 210.35 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.20 : 358.80 = 210.35 : x
  2. Step 2: Convert to fraction form
    260.20/358.80 = 210.35/x
  3. Step 3: Cross multiply
    260.20x = 358.80 × 210.35
  4. Step 4: Simplify right side
    260.20x = 75,473.69
  5. Step 5: Solve for x
    x = 75,473.69/260.20
  6. Step 6: Final answer
    x = 290.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.