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Finding the Fourth Proportional to 303.78, 455.62 and 98.29

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Solution

The fourth proportional to 303.78, 455.62 and 98.29 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 455.62 = 98.29 : x
  2. Step 2: Convert to fraction form
    303.78/455.62 = 98.29/x
  3. Step 3: Cross multiply
    303.78x = 455.62 × 98.29
  4. Step 4: Simplify right side
    303.78x = 44,782.89
  5. Step 5: Solve for x
    x = 44,782.89/303.78
  6. Step 6: Final answer
    x = 147.42

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Why These Related Problems?

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