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Finding the Fourth Proportional to 260.13, 358.93 and 207.87

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Solution

The fourth proportional to 260.13, 358.93 and 207.87 is: 286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.13 : 358.93 = 207.87 : x
  2. Step 2: Convert to fraction form
    260.13/358.93 = 207.87/x
  3. Step 3: Cross multiply
    260.13x = 358.93 × 207.87
  4. Step 4: Simplify right side
    260.13x = 74,610.78
  5. Step 5: Solve for x
    x = 74,610.78/260.13
  6. Step 6: Final answer
    x = 286.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.