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Finding the Fourth Proportional to 302.68, 417.68 and 204.47

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Solution

The fourth proportional to 302.68, 417.68 and 204.47 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.68 : 417.68 = 204.47 : x
  2. Step 2: Convert to fraction form
    302.68/417.68 = 204.47/x
  3. Step 3: Cross multiply
    302.68x = 417.68 × 204.47
  4. Step 4: Simplify right side
    302.68x = 85,399.92
  5. Step 5: Solve for x
    x = 85,399.92/302.68
  6. Step 6: Final answer
    x = 282.15

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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.