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Finding the Fourth Proportional to 302.34, 417.09 and 204.06

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Solution

The fourth proportional to 302.34, 417.09 and 204.06 is: 281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 417.09 = 204.06 : x
  2. Step 2: Convert to fraction form
    302.34/417.09 = 204.06/x
  3. Step 3: Cross multiply
    302.34x = 417.09 × 204.06
  4. Step 4: Simplify right side
    302.34x = 85,111.39
  5. Step 5: Solve for x
    x = 85,111.39/302.34
  6. Step 6: Final answer
    x = 281.51

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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.