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Finding the Fourth Proportional to 286.66, 430.70 and 183.99

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Solution

The fourth proportional to 286.66, 430.70 and 183.99 is: 276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.66 : 430.70 = 183.99 : x
  2. Step 2: Convert to fraction form
    286.66/430.70 = 183.99/x
  3. Step 3: Cross multiply
    286.66x = 430.70 × 183.99
  4. Step 4: Simplify right side
    286.66x = 79,244.49
  5. Step 5: Solve for x
    x = 79,244.49/286.66
  6. Step 6: Final answer
    x = 276.44

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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.