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Finding the Fourth Proportional to 302.19, 417.11 and 204.07

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Solution

The fourth proportional to 302.19, 417.11 and 204.07 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 417.11 = 204.07 : x
  2. Step 2: Convert to fraction form
    302.19/417.11 = 204.07/x
  3. Step 3: Cross multiply
    302.19x = 417.11 × 204.07
  4. Step 4: Simplify right side
    302.19x = 85,119.64
  5. Step 5: Solve for x
    x = 85,119.64/302.19
  6. Step 6: Final answer
    x = 281.68

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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.