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Finding the Fourth Proportional to 261.09, 391.61 and 78.53

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Solution

The fourth proportional to 261.09, 391.61 and 78.53 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 391.61 = 78.53 : x
  2. Step 2: Convert to fraction form
    261.09/391.61 = 78.53/x
  3. Step 3: Cross multiply
    261.09x = 391.61 × 78.53
  4. Step 4: Simplify right side
    261.09x = 30,751.37
  5. Step 5: Solve for x
    x = 30,751.37/261.09
  6. Step 6: Final answer
    x = 117.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.