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Finding the Fourth Proportional to 253.80, 349.99 and 207.09

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Solution

The fourth proportional to 253.80, 349.99 and 207.09 is: 285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 349.99 = 207.09 : x
  2. Step 2: Convert to fraction form
    253.80/349.99 = 207.09/x
  3. Step 3: Cross multiply
    253.80x = 349.99 × 207.09
  4. Step 4: Simplify right side
    253.80x = 72,478.91
  5. Step 5: Solve for x
    x = 72,478.91/253.80
  6. Step 6: Final answer
    x = 285.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.