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Finding the Fourth Proportional to 302.41, 417.34 and 178.08

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Solution

The fourth proportional to 302.41, 417.34 and 178.08 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.41 : 417.34 = 178.08 : x
  2. Step 2: Convert to fraction form
    302.41/417.34 = 178.08/x
  3. Step 3: Cross multiply
    302.41x = 417.34 × 178.08
  4. Step 4: Simplify right side
    302.41x = 74,318.56
  5. Step 5: Solve for x
    x = 74,318.56/302.41
  6. Step 6: Final answer
    x = 245.75

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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.