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Finding the Fourth Proportional to 260.06, 358.14 and 194.72

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Solution

The fourth proportional to 260.06, 358.14 and 194.72 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 358.14 = 194.72 : x
  2. Step 2: Convert to fraction form
    260.06/358.14 = 194.72/x
  3. Step 3: Cross multiply
    260.06x = 358.14 × 194.72
  4. Step 4: Simplify right side
    260.06x = 69,737.02
  5. Step 5: Solve for x
    x = 69,737.02/260.06
  6. Step 6: Final answer
    x = 268.16

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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.