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Finding the Fourth Proportional to 302.54, 417.85 and 204.13

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Solution

The fourth proportional to 302.54, 417.85 and 204.13 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 417.85 = 204.13 : x
  2. Step 2: Convert to fraction form
    302.54/417.85 = 204.13/x
  3. Step 3: Cross multiply
    302.54x = 417.85 × 204.13
  4. Step 4: Simplify right side
    302.54x = 85,293.63
  5. Step 5: Solve for x
    x = 85,293.63/302.54
  6. Step 6: Final answer
    x = 281.93

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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.