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Finding the Fourth Proportional to 261.09, 358.83 and 253.80

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Solution

The fourth proportional to 261.09, 358.83 and 253.80 is: 348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 358.83 = 253.80 : x
  2. Step 2: Convert to fraction form
    261.09/358.83 = 253.80/x
  3. Step 3: Cross multiply
    261.09x = 358.83 × 253.80
  4. Step 4: Simplify right side
    261.09x = 91,067.99
  5. Step 5: Solve for x
    x = 91,067.99/261.09
  6. Step 6: Final answer
    x = 348.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.