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Finding the Fourth Proportional to 303.22, 455.08 and 212.10

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Solution

The fourth proportional to 303.22, 455.08 and 212.10 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 455.08 = 212.10 : x
  2. Step 2: Convert to fraction form
    303.22/455.08 = 212.10/x
  3. Step 3: Cross multiply
    303.22x = 455.08 × 212.10
  4. Step 4: Simplify right side
    303.22x = 96,522.47
  5. Step 5: Solve for x
    x = 96,522.47/303.22
  6. Step 6: Final answer
    x = 318.32

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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.