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Finding the Fourth Proportional to 260.29, 359.32 and 155.42

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Solution

The fourth proportional to 260.29, 359.32 and 155.42 is: 214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.29 : 359.32 = 155.42 : x
  2. Step 2: Convert to fraction form
    260.29/359.32 = 155.42/x
  3. Step 3: Cross multiply
    260.29x = 359.32 × 155.42
  4. Step 4: Simplify right side
    260.29x = 55,845.51
  5. Step 5: Solve for x
    x = 55,845.51/260.29
  6. Step 6: Final answer
    x = 214.55

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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.