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Finding the Fourth Proportional to 243.84, 336.33 and 174.06

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Solution

The fourth proportional to 243.84, 336.33 and 174.06 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 336.33 = 174.06 : x
  2. Step 2: Convert to fraction form
    243.84/336.33 = 174.06/x
  3. Step 3: Cross multiply
    243.84x = 336.33 × 174.06
  4. Step 4: Simplify right side
    243.84x = 58,541.60
  5. Step 5: Solve for x
    x = 58,541.60/243.84
  6. Step 6: Final answer
    x = 240.08

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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.