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Finding the Fourth Proportional to 286.80, 430.65 and 165.30

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Solution

The fourth proportional to 286.80, 430.65 and 165.30 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 430.65 = 165.30 : x
  2. Step 2: Convert to fraction form
    286.80/430.65 = 165.30/x
  3. Step 3: Cross multiply
    286.80x = 430.65 × 165.30
  4. Step 4: Simplify right side
    286.80x = 71,186.45
  5. Step 5: Solve for x
    x = 71,186.45/286.80
  6. Step 6: Final answer
    x = 248.21

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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.