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Finding the Fourth Proportional to 526.13, 789.20 and 184.13

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Solution

The fourth proportional to 526.13, 789.20 and 184.13 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 789.20 = 184.13 : x
  2. Step 2: Convert to fraction form
    526.13/789.20 = 184.13/x
  3. Step 3: Cross multiply
    526.13x = 789.20 × 184.13
  4. Step 4: Simplify right side
    526.13x = 145,310.53
  5. Step 5: Solve for x
    x = 145,310.53/526.13
  6. Step 6: Final answer
    x = 276.19

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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.