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Finding the Fourth Proportional to 260.90, 360.04 and 150.38

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Solution

The fourth proportional to 260.90, 360.04 and 150.38 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 360.04 = 150.38 : x
  2. Step 2: Convert to fraction form
    260.90/360.04 = 150.38/x
  3. Step 3: Cross multiply
    260.90x = 360.04 × 150.38
  4. Step 4: Simplify right side
    260.90x = 54,140.64
  5. Step 5: Solve for x
    x = 54,140.64/260.90
  6. Step 6: Final answer
    x = 207.51

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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.