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Finding the Fourth Proportional to 302.36, 417.23 and 177.97

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Solution

The fourth proportional to 302.36, 417.23 and 177.97 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 417.23 = 177.97 : x
  2. Step 2: Convert to fraction form
    302.36/417.23 = 177.97/x
  3. Step 3: Cross multiply
    302.36x = 417.23 × 177.97
  4. Step 4: Simplify right side
    302.36x = 74,254.61
  5. Step 5: Solve for x
    x = 74,254.61/302.36
  6. Step 6: Final answer
    x = 245.59

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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.