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Finding the Fourth Proportional to 260.77, 391.18 and 87.53

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Solution

The fourth proportional to 260.77, 391.18 and 87.53 is: 131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.77 : 391.18 = 87.53 : x
  2. Step 2: Convert to fraction form
    260.77/391.18 = 87.53/x
  3. Step 3: Cross multiply
    260.77x = 391.18 × 87.53
  4. Step 4: Simplify right side
    260.77x = 34,240.18
  5. Step 5: Solve for x
    x = 34,240.18/260.77
  6. Step 6: Final answer
    x = 131.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.