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Finding the Fourth Proportional to 340.06, 468.66 and 241.78

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Solution

The fourth proportional to 340.06, 468.66 and 241.78 is: 333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.06 : 468.66 = 241.78 : x
  2. Step 2: Convert to fraction form
    340.06/468.66 = 241.78/x
  3. Step 3: Cross multiply
    340.06x = 468.66 × 241.78
  4. Step 4: Simplify right side
    340.06x = 113,312.61
  5. Step 5: Solve for x
    x = 113,312.61/340.06
  6. Step 6: Final answer
    x = 333.21

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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.