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Finding the Fourth Proportional to 303.68, 455.36 and 98.22

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Solution

The fourth proportional to 303.68, 455.36 and 98.22 is: 147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.68 : 455.36 = 98.22 : x
  2. Step 2: Convert to fraction form
    303.68/455.36 = 98.22/x
  3. Step 3: Cross multiply
    303.68x = 455.36 × 98.22
  4. Step 4: Simplify right side
    303.68x = 44,727.29
  5. Step 5: Solve for x
    x = 44,727.29/303.68
  6. Step 6: Final answer
    x = 147.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.