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Finding the Fourth Proportional to 302.85, 417.89 and 178.46

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Solution

The fourth proportional to 302.85, 417.89 and 178.46 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 417.89 = 178.46 : x
  2. Step 2: Convert to fraction form
    302.85/417.89 = 178.46/x
  3. Step 3: Cross multiply
    302.85x = 417.89 × 178.46
  4. Step 4: Simplify right side
    302.85x = 74,578.38
  5. Step 5: Solve for x
    x = 74,578.38/302.85
  6. Step 6: Final answer
    x = 246.26

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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.