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Finding the Fourth Proportional to 302.67, 417.71 and 178.31

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Solution

The fourth proportional to 302.67, 417.71 and 178.31 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.67 : 417.71 = 178.31 : x
  2. Step 2: Convert to fraction form
    302.67/417.71 = 178.31/x
  3. Step 3: Cross multiply
    302.67x = 417.71 × 178.31
  4. Step 4: Simplify right side
    302.67x = 74,483.36
  5. Step 5: Solve for x
    x = 74,483.36/302.67
  6. Step 6: Final answer
    x = 246.09

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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.