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Finding the Fourth Proportional to 302.29, 417.04 and 197.34

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Solution

The fourth proportional to 302.29, 417.04 and 197.34 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.29 : 417.04 = 197.34 : x
  2. Step 2: Convert to fraction form
    302.29/417.04 = 197.34/x
  3. Step 3: Cross multiply
    302.29x = 417.04 × 197.34
  4. Step 4: Simplify right side
    302.29x = 82,300.11
  5. Step 5: Solve for x
    x = 82,300.11/302.29
  6. Step 6: Final answer
    x = 272.25

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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.