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Finding the Fourth Proportional to 303.50, 419.17 and 242.00

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Solution

The fourth proportional to 303.50, 419.17 and 242.00 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 419.17 = 242.00 : x
  2. Step 2: Convert to fraction form
    303.50/419.17 = 242.00/x
  3. Step 3: Cross multiply
    303.50x = 419.17 × 242.00
  4. Step 4: Simplify right side
    303.50x = 101,436.44
  5. Step 5: Solve for x
    x = 101,436.44/303.50
  6. Step 6: Final answer
    x = 334.23

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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.