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Finding the Fourth Proportional to 253.62, 349.47 and 216.63

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Solution

The fourth proportional to 253.62, 349.47 and 216.63 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 349.47 = 216.63 : x
  2. Step 2: Convert to fraction form
    253.62/349.47 = 216.63/x
  3. Step 3: Cross multiply
    253.62x = 349.47 × 216.63
  4. Step 4: Simplify right side
    253.62x = 75,705.69
  5. Step 5: Solve for x
    x = 75,705.69/253.62
  6. Step 6: Final answer
    x = 298.50

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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.