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Finding the Fourth Proportional to 260.01, 358.80 and 141.98

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Solution

The fourth proportional to 260.01, 358.80 and 141.98 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.01 : 358.80 = 141.98 : x
  2. Step 2: Convert to fraction form
    260.01/358.80 = 141.98/x
  3. Step 3: Cross multiply
    260.01x = 358.80 × 141.98
  4. Step 4: Simplify right side
    260.01x = 50,944.58
  5. Step 5: Solve for x
    x = 50,944.58/260.01
  6. Step 6: Final answer
    x = 195.93

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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.