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Finding the Fourth Proportional to 302.54, 417.66 and 204.42

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Solution

The fourth proportional to 302.54, 417.66 and 204.42 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 417.66 = 204.42 : x
  2. Step 2: Convert to fraction form
    302.54/417.66 = 204.42/x
  3. Step 3: Cross multiply
    302.54x = 417.66 × 204.42
  4. Step 4: Simplify right side
    302.54x = 85,378.86
  5. Step 5: Solve for x
    x = 85,378.86/302.54
  6. Step 6: Final answer
    x = 282.21

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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.