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Finding the Fourth Proportional to 260.47, 359.33 and 177.65

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Solution

The fourth proportional to 260.47, 359.33 and 177.65 is: 245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.47 : 359.33 = 177.65 : x
  2. Step 2: Convert to fraction form
    260.47/359.33 = 177.65/x
  3. Step 3: Cross multiply
    260.47x = 359.33 × 177.65
  4. Step 4: Simplify right side
    260.47x = 63,834.97
  5. Step 5: Solve for x
    x = 63,834.97/260.47
  6. Step 6: Final answer
    x = 245.08

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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.