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Finding the Fourth Proportional to 302.72, 417.32 and 199.04

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Solution

The fourth proportional to 302.72, 417.32 and 199.04 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 417.32 = 199.04 : x
  2. Step 2: Convert to fraction form
    302.72/417.32 = 199.04/x
  3. Step 3: Cross multiply
    302.72x = 417.32 × 199.04
  4. Step 4: Simplify right side
    302.72x = 83,063.37
  5. Step 5: Solve for x
    x = 83,063.37/302.72
  6. Step 6: Final answer
    x = 274.39

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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.