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Finding the Fourth Proportional to 260.34, 358.77 and 186.53

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Solution

The fourth proportional to 260.34, 358.77 and 186.53 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.34 : 358.77 = 186.53 : x
  2. Step 2: Convert to fraction form
    260.34/358.77 = 186.53/x
  3. Step 3: Cross multiply
    260.34x = 358.77 × 186.53
  4. Step 4: Simplify right side
    260.34x = 66,919.57
  5. Step 5: Solve for x
    x = 66,919.57/260.34
  6. Step 6: Final answer
    x = 257.05

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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.