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Finding the Fourth Proportional to 303.72, 455.37 and 194.10

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Solution

The fourth proportional to 303.72, 455.37 and 194.10 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 455.37 = 194.10 : x
  2. Step 2: Convert to fraction form
    303.72/455.37 = 194.10/x
  3. Step 3: Cross multiply
    303.72x = 455.37 × 194.10
  4. Step 4: Simplify right side
    303.72x = 88,387.32
  5. Step 5: Solve for x
    x = 88,387.32/303.72
  6. Step 6: Final answer
    x = 291.02

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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.