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Finding the Fourth Proportional to 260.68, 391.58 and 158.01

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Solution

The fourth proportional to 260.68, 391.58 and 158.01 is: 237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 391.58 = 158.01 : x
  2. Step 2: Convert to fraction form
    260.68/391.58 = 158.01/x
  3. Step 3: Cross multiply
    260.68x = 391.58 × 158.01
  4. Step 4: Simplify right side
    260.68x = 61,872.77
  5. Step 5: Solve for x
    x = 61,872.77/260.68
  6. Step 6: Final answer
    x = 237.35

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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.