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Finding the Fourth Proportional to 302.96, 417.86 and 229.14

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Solution

The fourth proportional to 302.96, 417.86 and 229.14 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 417.86 = 229.14 : x
  2. Step 2: Convert to fraction form
    302.96/417.86 = 229.14/x
  3. Step 3: Cross multiply
    302.96x = 417.86 × 229.14
  4. Step 4: Simplify right side
    302.96x = 95,748.44
  5. Step 5: Solve for x
    x = 95,748.44/302.96
  6. Step 6: Final answer
    x = 316.04

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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.