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Finding the Fourth Proportional to 261.53, 391.84 and 193.19

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Solution

The fourth proportional to 261.53, 391.84 and 193.19 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 391.84 = 193.19 : x
  2. Step 2: Convert to fraction form
    261.53/391.84 = 193.19/x
  3. Step 3: Cross multiply
    261.53x = 391.84 × 193.19
  4. Step 4: Simplify right side
    261.53x = 75,697.13
  5. Step 5: Solve for x
    x = 75,697.13/261.53
  6. Step 6: Final answer
    x = 289.44

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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.