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Finding the Fourth Proportional to 302.85, 417.99 and 178.54

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Solution

The fourth proportional to 302.85, 417.99 and 178.54 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 417.99 = 178.54 : x
  2. Step 2: Convert to fraction form
    302.85/417.99 = 178.54/x
  3. Step 3: Cross multiply
    302.85x = 417.99 × 178.54
  4. Step 4: Simplify right side
    302.85x = 74,627.93
  5. Step 5: Solve for x
    x = 74,627.93/302.85
  6. Step 6: Final answer
    x = 246.42

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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.