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Finding the Fourth Proportional to 302.17, 417.23 and 197.33

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Solution

The fourth proportional to 302.17, 417.23 and 197.33 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 417.23 = 197.33 : x
  2. Step 2: Convert to fraction form
    302.17/417.23 = 197.33/x
  3. Step 3: Cross multiply
    302.17x = 417.23 × 197.33
  4. Step 4: Simplify right side
    302.17x = 82,332.00
  5. Step 5: Solve for x
    x = 82,332.00/302.17
  6. Step 6: Final answer
    x = 272.47

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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.