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Finding the Fourth Proportional to 303.45, 455.06 and 130.19

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Solution

The fourth proportional to 303.45, 455.06 and 130.19 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.45 : 455.06 = 130.19 : x
  2. Step 2: Convert to fraction form
    303.45/455.06 = 130.19/x
  3. Step 3: Cross multiply
    303.45x = 455.06 × 130.19
  4. Step 4: Simplify right side
    303.45x = 59,245.88
  5. Step 5: Solve for x
    x = 59,245.88/303.45
  6. Step 6: Final answer
    x = 195.24

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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.