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Finding the Fourth Proportional to 247.14, 368.15 and 233.46

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Solution

The fourth proportional to 247.14, 368.15 and 233.46 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.14 : 368.15 = 233.46 : x
  2. Step 2: Convert to fraction form
    247.14/368.15 = 233.46/x
  3. Step 3: Cross multiply
    247.14x = 368.15 × 233.46
  4. Step 4: Simplify right side
    247.14x = 85,947.13
  5. Step 5: Solve for x
    x = 85,947.13/247.14
  6. Step 6: Final answer
    x = 347.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.