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Finding the Fourth Proportional to 260.16, 388.08 and 231.52

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Solution

The fourth proportional to 260.16, 388.08 and 231.52 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 388.08 = 231.52 : x
  2. Step 2: Convert to fraction form
    260.16/388.08 = 231.52/x
  3. Step 3: Cross multiply
    260.16x = 388.08 × 231.52
  4. Step 4: Simplify right side
    260.16x = 89,848.28
  5. Step 5: Solve for x
    x = 89,848.28/260.16
  6. Step 6: Final answer
    x = 345.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.