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Finding the Fourth Proportional to 302.29, 417.09 and 177.86

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Solution

The fourth proportional to 302.29, 417.09 and 177.86 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.29 : 417.09 = 177.86 : x
  2. Step 2: Convert to fraction form
    302.29/417.09 = 177.86/x
  3. Step 3: Cross multiply
    302.29x = 417.09 × 177.86
  4. Step 4: Simplify right side
    302.29x = 74,183.63
  5. Step 5: Solve for x
    x = 74,183.63/302.29
  6. Step 6: Final answer
    x = 245.41

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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.