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Finding the Fourth Proportional to 302.67, 417.38 and 197.64

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Solution

The fourth proportional to 302.67, 417.38 and 197.64 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.67 : 417.38 = 197.64 : x
  2. Step 2: Convert to fraction form
    302.67/417.38 = 197.64/x
  3. Step 3: Cross multiply
    302.67x = 417.38 × 197.64
  4. Step 4: Simplify right side
    302.67x = 82,490.00
  5. Step 5: Solve for x
    x = 82,490.00/302.67
  6. Step 6: Final answer
    x = 272.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.