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Finding the Fourth Proportional to 260.68, 390.66 and 157.72

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Solution

The fourth proportional to 260.68, 390.66 and 157.72 is: 236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 390.66 = 157.72 : x
  2. Step 2: Convert to fraction form
    260.68/390.66 = 157.72/x
  3. Step 3: Cross multiply
    260.68x = 390.66 × 157.72
  4. Step 4: Simplify right side
    260.68x = 61,614.90
  5. Step 5: Solve for x
    x = 61,614.90/260.68
  6. Step 6: Final answer
    x = 236.36

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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.