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Finding the Fourth Proportional to 248.84, 343.30 and 160.30

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Solution

The fourth proportional to 248.84, 343.30 and 160.30 is: 221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 343.30 = 160.30 : x
  2. Step 2: Convert to fraction form
    248.84/343.30 = 160.30/x
  3. Step 3: Cross multiply
    248.84x = 343.30 × 160.30
  4. Step 4: Simplify right side
    248.84x = 55,030.99
  5. Step 5: Solve for x
    x = 55,030.99/248.84
  6. Step 6: Final answer
    x = 221.15

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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.