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Finding the Fourth Proportional to 286.89, 430.29 and 124.53

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Solution

The fourth proportional to 286.89, 430.29 and 124.53 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 430.29 = 124.53 : x
  2. Step 2: Convert to fraction form
    286.89/430.29 = 124.53/x
  3. Step 3: Cross multiply
    286.89x = 430.29 × 124.53
  4. Step 4: Simplify right side
    286.89x = 53,584.01
  5. Step 5: Solve for x
    x = 53,584.01/286.89
  6. Step 6: Final answer
    x = 186.78

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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.