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Finding the Fourth Proportional to 286.77, 430.16 and 124.36

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Solution

The fourth proportional to 286.77, 430.16 and 124.36 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 430.16 = 124.36 : x
  2. Step 2: Convert to fraction form
    286.77/430.16 = 124.36/x
  3. Step 3: Cross multiply
    286.77x = 430.16 × 124.36
  4. Step 4: Simplify right side
    286.77x = 53,493.00
  5. Step 5: Solve for x
    x = 53,493.00/286.77
  6. Step 6: Final answer
    x = 186.54

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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.