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Finding the Fourth Proportional to 260.20, 358.72 and 180.45

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Solution

The fourth proportional to 260.20, 358.72 and 180.45 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.20 : 358.72 = 180.45 : x
  2. Step 2: Convert to fraction form
    260.20/358.72 = 180.45/x
  3. Step 3: Cross multiply
    260.20x = 358.72 × 180.45
  4. Step 4: Simplify right side
    260.20x = 64,731.02
  5. Step 5: Solve for x
    x = 64,731.02/260.20
  6. Step 6: Final answer
    x = 248.77

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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.