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Finding the Fourth Proportional to 302.85, 417.87 and 178.42

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Solution

The fourth proportional to 302.85, 417.87 and 178.42 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 417.87 = 178.42 : x
  2. Step 2: Convert to fraction form
    302.85/417.87 = 178.42/x
  3. Step 3: Cross multiply
    302.85x = 417.87 × 178.42
  4. Step 4: Simplify right side
    302.85x = 74,556.37
  5. Step 5: Solve for x
    x = 74,556.37/302.85
  6. Step 6: Final answer
    x = 246.18

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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.